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Aczél, János Dezső

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Author ID: aczel.janos Recent zbMATH articles by "Aczél, János Dezső"
Published as: Aczél, János; Aczel, John; Aczél, J.; Aczel, Jean; Aczél, Jean; Aczél, János D.; Aczel, János
Homepage: https://uwaterloo.ca/pure-mathematics/about/people/janos-aczel
External Links: IdRef · MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 290 Publications since 1947, including 16 Books
Reviewing Activity: 507 Reviews
Biographic References: 5 Publications
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Serials

21 Aequationes Mathematicae
15 Acta Mathematica Academiae Scientiarum Hungaricae
14 Publicationes Mathematicae
10 Journal of Mathematical Analysis and Applications
7 Journal of Mathematical Psychology
7 Comptes Rendus Mathématiques de l’Académie des Sciences
6 American Mathematical Monthly
6 Matematikai Lapok
6 Results in Mathematics
5 Acta Scientiarum Mathematicarum
5 Mathematical Social Sciences
4 Colloquium Mathematicum
4 Mathematische Nachrichten
4 Proceedings of the American Mathematical Society
4 Utilitas Mathematica
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Det Kongelige Norske Videnskabers Selskabs Forhandlinger
4 Mathematica
3 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
3 Archiv der Mathematik
3 Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A
2 Information Processing and Management
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Metrika
2 Mathematics Magazine
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annales Polonici Mathematici
2 Journal of Geometry
2 Portugaliae Mathematica
2 SIAM Journal on Algebraic and Discrete Methods
2 Linear Algebra and its Applications
2 Economic Theory
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei
2 Encyclopedia of Mathematics and Its Applications
2 Methods of Operations Research
2 Publications de l’Institut des Mathématiques Appliquées de l’Academie des Sciences de Hongrie
1 Acta Informatica
1 Advances in Applied Probability
1 IEEE Transactions on Information Theory
1 The Mathematical Gazette
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Studia Mathematica
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Zeszyty Naukowe Politechniki Śląskiej. Matematyka-Fizyka
1 Advances in Mathematics
1 Algebra Universalis
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Demonstratio Mathematica
1 Fundamenta Mathematicae
1 Funkcialaj Ekvacioj. Serio Internacia
1 Information and Control
1 Journal of Applied Probability
1 Mathematica Japonica
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse
1 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Quarterly of Applied Mathematics
1 RAIRO, Informatique Théorique
1 Real Analysis Exchange
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Studia Scientiarum Mathematicarum Hungarica
1 Mathematical Modelling
1 L’Enseignement Mathématique. 2e Série
1 Mitteilungen der Mathematischen Gesellschaft in Hamburg
1 Proceedings of the National Academy of Sciences of the United States of America
1 Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin. Mathematisch-Naturwissenschaftliche Reihe
1 Bulletin of the American Mathematical Society. New Series
1 Grazer Mathematische Berichte
1 Journal of the Australian Mathematical Society
1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne
1 Bollettino della Unione Matematica Italiana. Series III
1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
1 Bulletin of the American Mathematical Society
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
1 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique
1 Académie Serbe des Sciences, Publications de l’Institut Mathématique
1 Acta Physica Academiae Scientiarum Hungaricae
1 Buletinul Institutului Politehnic din Iaşi, New Series
1 Matematichki Vesnik. New Series
1 Mathematisch-Physikalische Semesterberichte, Neue Folge
1 Nieuw Archief voor Wiskunde. Tweede Serie
1 Periodicum Mathematico-Physicum et Astronomicum
1 Studia Universitatis Babeş-Bolyai. Series Mathematica, Mechanica
1 Mathematics and its Applications (Dordrecht)
1 Mathematics in Science and Engineering
1 Monografie Matematyczne
1 Theory and Decision Library. Series B: Mathematical and Statistical Methods
1 Hungarica Acta Mathematica
1 Lucrările Ştienţifice ale Institutului Pedagogie Timişoara. Matematică-Fizică
1 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe
all top 5

Fields

120 Difference and functional equations (39-XX)
52 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
47 Information and communication theory, circuits (94-XX)
27 Real functions (26-XX)
7 Probability theory and stochastic processes (60-XX)
6 History and biography (01-XX)
6 Group theory and generalizations (20-XX)
6 Geometry (51-XX)
6 Operations research, mathematical programming (90-XX)
5 General and overarching topics; collections (00-XX)
5 Differential geometry (53-XX)
5 Statistics (62-XX)
4 Operator theory (47-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Ordinary differential equations (34-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Partial differential equations (35-XX)
2 Computer science (68-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Mechanics of particles and systems (70-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

184 Publications have been cited 2,738 times in 2,045 Documents Cited by Year
Lectures on functional equations and their applications. Zbl 0139.09301
Aczél, János
852
1966
Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Zbl 0685.39006
Aczél, János; Dhombres, J.
331
1989
On measures of information and their characterizations. Zbl 0345.94022
Aczél, János; Daroczy, Z.
155
1975
Procedures for synthesizing ratio judgements. Zbl 0522.92028
Aczél, János; Saaty, T. L.
96
1983
Vorlesungen über Funktionalgleichungen und ihre Anwendungen. Zbl 0096.09102
Aczél, János
64
1961
On mean values. Zbl 0030.02702
Aczél, János
63
1948
Generalized assoziativity and bisymmetry on quasigroups. Zbl 0090.24301
Aczél, János; Belousov, V. D.; Hosszú, M.
41
1960
A short course on functional equations. Based upon recent applications to the social and behavioral sciences. Zbl 0607.39002
Aczél, János
37
1987
On scientific laws without dimensional constants. Zbl 0605.39004
Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill
36
1986
Sur les opérations définies pour nombres réels. Zbl 0033.11002
Aczel, Jean
35
1948
The general solution of two functional equations by reduction to functions additive in two variables and with the aid of Hamel bases. Zbl 0151.20904
Aczél, János
35
1965
Charakterisierung der Entropien positiver Ordnung und der Shannonschen Entropie. Zbl 0138.14904
Aczél, János; Daróczy, Z.
34
1963
Quasigroups, nets, and nomograms. Zbl 0135.03601
Aczél, János
32
1965
General and regular solutions of functional equations characterizing harmonic polynomials. Zbl 0157.46102
Aczél, János; Haruki, H.; McKiernan, M. A.; Sakovich, G. N.
31
1968
On the possible merging functions. Zbl 0675.90005
Aczél, János; Roberts, Fred S.
26
1989
Über verallgemeinerte quasilineare Mittelwerte, die mit Gewichtsfunktionen gebildet sind. Zbl 0147.31203
Aczél, János; Daroczy, Z.
26
1964
The state of the second part of Hilbert’s fifth problem. Zbl 0676.39004
Aczél, János
22
1989
On applications and theory of functional equations. Zbl 0176.12801
Aczél, János
21
1969
On the characterization of plane projective and complex Moebius- transformations. Zbl 0152.19204
Aczél, János; McKiernan, M. A.
21
1967
A mean value property of the derivative of quadratic polynomials - without mean values and derivatives. Zbl 0571.39005
Aczél, János
20
1985
Remarks on one-parameter subsemigroups of the affine group and their homo-and isomorphisms. Zbl 0205.14802
Aczél, János; Gołab, S.
19
1970
Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups. Zbl 0224.20036
Aczél, János; Baker, J. A.; Đoković, Dragomir Ž.; Kannappan, Pl.; Radó, F.
19
1971
Remarks on the measurement of subjective probability and information. Zbl 0171.40201
Aczél, János; Pfanzagl, J.
18
1966
On weighted synthesis of judgements. Zbl 0543.90003
Aczél, János
17
1984
A mixed theory of information. I: Symmetric, recursive and measurable entropies of randomized systems of events. Zbl 0382.94012
Aczél, János; Daroczy, Z.
16
1978
A mixed theory of information. III.: Inset entropies of degree \(\beta\). Zbl 0393.94011
Aczél, János; Kannappan, Pl.
16
1978
Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011
Aczél, János; Forte, B.; Ng, C. T.
16
1974
Symmetric second differences in product form on groups. Zbl 0731.39010
Aczél, János; Chung, J. K.; Ng, C. T.
14
1989
Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Paperback reprint of the hardback edition 1989. Zbl 1139.39043
Aczél, János; Dhombres, J.
14
2008
Determining merged relative scores. Zbl 0709.92026
Aczél, János
14
1990
Some unsolved problems in the theory of functional equations. Zbl 0191.44401
Aczél, János
12
1964
On composed Poisson distributions. I. Zbl 0041.24901
Janossy, L.; Rényi, Alfréd; Aczél, János
12
1950
Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002
Aczél, János; Alsina, C.
11
1984
Aggregation theorems for allocation problems. Zbl 0538.05006
Aczél, János; Ng, C. T.; Wagner, C.
11
1984
Proof of a theorem on distributive type hyperidentities. Zbl 0219.08008
Aczél, János
11
1971
The notion of mean values. Zbl 0030.02601
Aczel, John
11
1947
Beiträge zur Theorie der geometrischen Objekte. III-IV, V. Zbl 0078.13902
Aczél, János
11
1957
The non-existence of a Hamel-basis and the general solution of Cauchy’s functional equation for nonnegative numbers. Zbl 0151.21001
Aczél, János; Erdős, Pál
11
1965
Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010
Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János
10
2008
Synthesizing judgements: a functional equations approach. Zbl 0624.90002
Aczél, János; Alsina, Claudi
10
1987
On two mean value properties and functional equations associated with them. Zbl 0688.39006
Aczél, János; Kuczma, Marek
10
1989
Extension of a generalized Pexider equation. Zbl 1075.39024
Aczél, János
10
2005
Sur l’équation de translation. Zbl 0042.34401
Aczél, János; Kalmár, L.; G.-Mikusiński, Jan
10
1951
Solution of the rectangular \(m \times n\) generalized bisymmetry equation and of the problem of consistent aggregation. Zbl 0858.39013
Aczél, János; Maksa, Gyula
9
1996
Integrable solutions of functional equations of a general type. Zbl 0553.39005
Aczél, János; Chung, J. K.
9
1982
Eine Bemerkung über die Charakterisierung der “klassischen” orthogonalen Polynome. Zbl 0051.30401
Aczél, János
9
1953
Ein Eindeutigkeitssatz in der Theorie der Funktionalgleichungen und einiger ihrer Anwendungen. Zbl 0136.12405
Aczél, János
9
1964
A behavioral condition for Prelec’s weighting function on the positive line without assuming \(W(1)=1\). Zbl 1132.91602
Aczél, János; Luce, R. Duncan
9
2007
Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008
Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János
8
2008
Some differential equations related to iteration theory. Zbl 0648.35015
Aczél, János; Gronau, Detlef
8
1988
Kollineationen auf Drei-und Vierecken in der Desarguesschen projektiven Ebene und Äquivalenz der Dreiecksnomogramme und der Dreigewebe von Loops mit der Isotopie-Isomorphie-Eigenschaft. Zbl 0179.25703
Aczél, János; Benz, Walter
8
1969
Einige allgemeine Methoden in der Theorie der Funktionalgleichungen einer Veränderlichen. Neue Anwendungen der Funktionalgleichungen. Zbl 0070.34903
Aczél, János
8
1956
Collineations on three and on four lines of projective planes over fields. Zbl 0149.38903
Aczél, János
8
1966
A mixed theory of information. V: How to keep the (inset) expert honest. Zbl 0442.94004
Aczél, János
7
1980
New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws. Zbl 0874.90054
Aczél, János; Moszner, Zenon
7
1994
A characterization of weighted arithmetic means. Zbl 0498.26010
Aczél, János; Wagner, C.
7
1980
Further uniqueness theorems for functional equations. Zbl 0171.12703
Aczél, János; Hosszu, M.
7
1965
On a generalization of the functional equations of Pexider. Zbl 0123.10805
Aczél, János
7
1964
Generalizations of a “folk-theorem” on simple functional equations in a single variable. Zbl 0725.39003
Aczél, János; Kuczma, Marek
6
1991
A mixed theory of information. II: Additive inset entropies (of randomized systems of events) with measurable sum property. Zbl 0375.94008
Aczél, János
6
1978
A mixed theory of information. VII: Inset information functions of all degrees. Zbl 0442.94006
Aczél, János
6
1980
Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009
Aczél, János; Gronau, Detlef; Schwaiger, Jens
6
1994
Measuring information beyond communication theory - why some generalized information measures may be useful, others not. Zbl 0547.94004
Aczél, János
6
1984
Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006
Aczél, János; Ng, C. T.
6
1983
On the characterization of Shannon’s entropy by Shannon’s inequality. Zbl 0277.94010
Aczél, János; Ostrowski, A. M.
6
1973
Über Zusammenhänge zwischen Differential- und Funktionalgleichungen. Zbl 0175.45603
Aczél, János
6
1969
Lösung der Vektor-Funktionalgleichung der homogenen und inhomogenen \(n\)-dimensionalen einparametrigen “Translation” der erzeugenden Funktion von Kettenreaktionen und des stationären und nichtstationären Bewegungsintegrals. Zbl 0064.37303
Aczél, János
6
1955
On transformations with several parameters and operations in multidimensional spaces. Zbl 0073.10601
Aczél, János; Hosszu, M.
6
1956
Über eine gemeinsame Verallgemeinerung zweier Funktionalgleichungen von Jensen. Zbl 0119.32801
Aczél, János; Vincze, E.
6
1964
Solution of a functional equation arising from utility that is both separable and additive. Zbl 0930.39019
Aczél, János; Ger, Roman; Járai, Antal
5
1999
Consistency of monomial and difference representations of functions arising from empirical phenomena. Zbl 1126.91332
Aczél, János; Falmagne, Jean-Claude
5
1999
Sur l’équation de translation multidimensionnelle. (On the multidimensional translation equation). Zbl 0724.39008
Aczél, János; Berg, Lothar; Moszner, Zenon
5
1991
Functions of binomial type, mapping groupoids into rings. Zbl 0335.39007
Aczél, János
5
1977
Functions partially constant on rings of sets. Zbl 0442.94007
Aczél, János
5
1980
Continuous solutions of the Gołąb-Schinzel equation on the nonnegative reals and on related domains. Zbl 1003.39022
Aczél, J.; Schwaiger, J.
5
1999
Über das harmonische Produkt und eine korrespondierende Funktionalgleichung. (On the harmonic product and its corresponding functional equation). Zbl 0315.39008
Aczél, János; Benz, Walter
5
1975
A generalization of the notion of convex functions. Zbl 0030.02602
Aczel, John
5
1947
Über eine Klasse von Funktionalgleichungen. Zbl 0031.11705
Aczél, János
5
1948
Über einparametrige Transformationen. Zbl 0039.33402
Aczél, János
5
1950
Inequalities. Zbl 0047.05303
Aczél, Jean
5
1952
Funktionalgleichungen der Theorie der geometrischen Objekte. Zbl 0100.32901
Aczél, János; Gołąb, Stanisław
5
1960
A note on generalizations of transitive systems of transformations. Zbl 0148.01501
Aczél, János; Wallace, A. D.
5
1967
Local Pexider and Cauchy equations. Zbl 1128.39018
Aczél, János; Skof, Fulvia
5
2007
Utility of extension of functional equations – when possible. Zbl 1096.39023
Aczél, János
4
2005
Solutions of three functional equations arising from different ways of measuring utility. Zbl 0870.90019
Aczél, János; Luce, R. Duncan; Maksa, Gyula
4
1996
Functional characterizations of basic properties of utility representations. Zbl 1032.39013
Ng, Che Tat; Luce, R. Duncan; Aczél, János
4
2002
A functional equation arising from simultaneous utility representations. Zbl 1041.39015
Aczél, János; Luce, R. Duncan; Marley, A. A. J.
4
2003
On history, applications and theory of functional equations. Zbl 0583.39004
Aczél, János
4
1984
General two-place information functions. Zbl 0489.94005
Aczél, János; Kannappan, Pl.
4
1982
Invariance of multiattribute utility functions under shift transformations. Zbl 1179.39029
Abbas, Ali; Aczél, János; Chudziak, Jacek
4
2009
On a triangular functional equation and some applications, in particular to the generalized theory of information. Zbl 0292.39003
Aczél, János; Forte, B.; Ng, C. T.
4
1974
Lösungen einer mit dem Doppelverhältnis zusammenhängenden Funktionalgleichung. Zbl 0122.11802
Aczél, János; Fladt, Kuno; Hosszu, M.
4
1962
Einige aus Funktionalgleichungen zweier Veränderlichen ableitbare Differentialgleichungen. Zbl 0039.31802
Aczél, János
4
1950
Nomogramme, Gewebe und Quasigruppen. Zbl 0102.25801
Aczél, János; Pickert, G.; Rado, F.
4
1960
Solution to a functional equation arising from different ways of measuring utility. Zbl 1033.39020
Aczél, János; Maksa, Gyula; Páles, Zsolt
3
1999
Solution of a functional equation arising in an axiomatization of the utility of binary gambles. Zbl 0963.39026
Aczél, János; Maksa, Gyula; Páles, Zsolt
3
2001
A functional equation arising from ranked additive and separable utility. Zbl 0967.39007
Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt
3
2001
Functional equations in the behavioral sciences. Zbl 0978.39015
Aczél, János; Falmagne, Jean-Claude; Luce, R. Duncan
3
2000
The behaviour of means under equal increments of their variables. Zbl 0671.26008
Aczél, János; Páles, Zs.
3
1988
‘Cheaper by the dozen’: Twelve functional equations and their applications to the “laws of science” and to measurement in economics. Zbl 0689.90006
Aczél, János
3
1988
Invariance of multiattribute utility functions under shift transformations. Zbl 1179.39029
Abbas, Ali; Aczél, János; Chudziak, Jacek
4
2009
Corrigenda to “Invariance of multiattribute utility functions under shift transformations”. Zbl 1185.39017
Abbas, Ali; Aczél, János; Chudziak, Jacek
2
2009
Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Paperback reprint of the hardback edition 1989. Zbl 1139.39043
Aczél, János; Dhombres, J.
14
2008
Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010
Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János
10
2008
Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008
Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János
8
2008
A behavioral condition for Prelec’s weighting function on the positive line without assuming \(W(1)=1\). Zbl 1132.91602
Aczél, János; Luce, R. Duncan
9
2007
Local Pexider and Cauchy equations. Zbl 1128.39018
Aczél, János; Skof, Fulvia
5
2007
Extension of a generalized Pexider equation. Zbl 1075.39024
Aczél, János
10
2005
Utility of extension of functional equations – when possible. Zbl 1096.39023
Aczél, János
4
2005
On a functional equation arising from comparison of utility representations. Zbl 1067.39038
Gilányi, Attila; Ng, Che Tat; Aczél, János
1
2005
A functional equation arising from simultaneous utility representations. Zbl 1041.39015
Aczél, János; Luce, R. Duncan; Marley, A. A. J.
4
2003
Functional characterizations of basic properties of utility representations. Zbl 1032.39013
Ng, Che Tat; Luce, R. Duncan; Aczél, János
4
2002
Two functional equations preserving functional forms. Zbl 1061.39018
Aczél, János; Luce, R. Duncan
1
2002
Solution of a functional equation arising in an axiomatization of the utility of binary gambles. Zbl 0963.39026
Aczél, János; Maksa, Gyula; Páles, Zsolt
3
2001
A functional equation arising from ranked additive and separable utility. Zbl 0967.39007
Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt
3
2001
Functional equations in the behavioral sciences. Zbl 0978.39015
Aczél, János; Falmagne, Jean-Claude; Luce, R. Duncan
3
2000
Consistent aggregation of simply scalable families of choice probabilities. Zbl 1006.91030
Aczél, János; Gilányi, Attila; Maksa, Gyula; Marley, Anthony A. J.
2
2000
Solution of a functional equation arising from utility that is both separable and additive. Zbl 0930.39019
Aczél, János; Ger, Roman; Járai, Antal
5
1999
Consistency of monomial and difference representations of functions arising from empirical phenomena. Zbl 1126.91332
Aczél, János; Falmagne, Jean-Claude
5
1999
Continuous solutions of the Gołąb-Schinzel equation on the nonnegative reals and on related domains. Zbl 1003.39022
Aczél, J.; Schwaiger, J.
5
1999
Solution to a functional equation arising from different ways of measuring utility. Zbl 1033.39020
Aczél, János; Maksa, Gyula; Páles, Zsolt
3
1999
Functional equations in binocular space perception. Zbl 1057.91513
Aczél, János; Boros, Zoltán; Heller, Jürgen; Che Tat Ng
2
1999
Consistent aggregation of scale families of selection probabilities. Zbl 0943.91512
Aczél, János; Maksa, Gyula; Marley, A. A. J.; Moszner, Zenon
2
1997
Equations of generalized bisymmetry and of consistent aggregation: Weakly surjective solutions which may be discontinuous at places. Zbl 0936.39009
Aczél, János; Maksa, Gyula; Taylor, Mark
2
1997
Solution of the rectangular \(m \times n\) generalized bisymmetry equation and of the problem of consistent aggregation. Zbl 0858.39013
Aczél, János; Maksa, Gyula
9
1996
Solutions of three functional equations arising from different ways of measuring utility. Zbl 0870.90019
Aczél, János; Luce, R. Duncan; Maksa, Gyula
4
1996
Variations on the theme of dimensional analysis. (Variationen über das Thema Dimensionsanalyse.) Zbl 0973.00520
Aczél, János
1
1996
New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws. Zbl 0874.90054
Aczél, János; Moszner, Zenon
7
1994
Increasing solutions of the homogeneity equation and of similar equations. Zbl 0806.39009
Aczél, János; Gronau, Detlef; Schwaiger, Jens
6
1994
On building indices. Zbl 0810.39005
Aczél, János; Alsina, Claudi
1
1994
Constituent-sensitive public fund sharing. Zbl 0848.90052
Aczél, János; Pfingsten, Andreas
2
1993
A lemma on the angles between a fixed line and the lines connecting a fixed point on it with the points of a convex arc. Zbl 0783.26004
Aczél, János; Ng, Che Tat
1
1992
Generalizations of a “folk-theorem” on simple functional equations in a single variable. Zbl 0725.39003
Aczél, János; Kuczma, Marek
6
1991
Sur l’équation de translation multidimensionnelle. (On the multidimensional translation equation). Zbl 0724.39008
Aczél, János; Berg, Lothar; Moszner, Zenon
5
1991
Why, how and how not to apply mathematics to economics and to other social and behavioural sciences. An example: Merging relative scores. Zbl 0751.90030
Aczél, János
1
1991
Determining merged relative scores. Zbl 0709.92026
Aczél, János
14
1990
Functional equations and l’Hôpital’s rule in an exact Poisson derivation. Zbl 0713.39004
Aczél, János
1
1990
Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences. Zbl 0685.39006
Aczél, János; Dhombres, J.
331
1989
On the possible merging functions. Zbl 0675.90005
Aczél, János; Roberts, Fred S.
26
1989
The state of the second part of Hilbert’s fifth problem. Zbl 0676.39004
Aczél, János
22
1989
Symmetric second differences in product form on groups. Zbl 0731.39010
Aczél, János; Chung, J. K.; Ng, C. T.
14
1989
On two mean value properties and functional equations associated with them. Zbl 0688.39006
Aczél, János; Kuczma, Marek
10
1989
Some differential equations related to iteration theory. Zbl 0648.35015
Aczél, János; Gronau, Detlef
8
1988
The behaviour of means under equal increments of their variables. Zbl 0671.26008
Aczél, János; Páles, Zs.
3
1988
‘Cheaper by the dozen’: Twelve functional equations and their applications to the “laws of science” and to measurement in economics. Zbl 0689.90006
Aczél, János
3
1988
A short course on functional equations. Based upon recent applications to the social and behavioral sciences. Zbl 0607.39002
Aczél, János
37
1987
Synthesizing judgements: a functional equations approach. Zbl 0624.90002
Aczél, János; Alsina, Claudi
10
1987
The behaviour of comprehensive classes of means under equal increments of their variables. Zbl 0638.26014
Aczél, János; Losonczi, L.; Páles, Zs.
2
1987
On scientific laws without dimensional constants. Zbl 0605.39004
Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill
36
1986
A mean value property of the derivative of quadratic polynomials - without mean values and derivatives. Zbl 0571.39005
Aczél, János
20
1985
Solution of a system of functional-differential equations arising from an optimization problem. Zbl 0591.49005
Aczél, János
2
1985
On weighted synthesis of judgements. Zbl 0543.90003
Aczél, János
17
1984
Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002
Aczél, János; Alsina, C.
11
1984
Aggregation theorems for allocation problems. Zbl 0538.05006
Aczél, János; Ng, C. T.; Wagner, C.
11
1984
Measuring information beyond communication theory - why some generalized information measures may be useful, others not. Zbl 0547.94004
Aczél, János
6
1984
On history, applications and theory of functional equations. Zbl 0583.39004
Aczél, János
4
1984
Functional equations: history, applications and theory. Zbl 0567.00009
Aczél, János
3
1984
Measuring information beyond communication theory. Some probably useful and some almost certainly useless generalizations. Zbl 0554.94006
Aczél, János
2
1984
Some recent results on information measures, a new generalization and some ’real life’ interpretations of the ’old’ and new measures. Zbl 0587.94008
Aczél, János
1
1984
Procedures for synthesizing ratio judgements. Zbl 0522.92028
Aczél, János; Saaty, T. L.
96
1983
Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006
Aczél, János; Ng, C. T.
6
1983
Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009
Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C.
3
1983
Diamonds are not the Cauchy extensionists’ best friend. Zbl 0536.39002
Aczél, János
3
1983
A new theory of generalized information measures, recent results in the ”old” theory and some ”real life” interpretations of old and new information measures. Zbl 0545.94004
Aczél, János
1
1983
Integrable solutions of functional equations of a general type. Zbl 0553.39005
Aczél, János; Chung, J. K.
9
1982
General two-place information functions. Zbl 0489.94005
Aczél, János; Kannappan, Pl.
4
1982
Rational group decision making generalized: The case of several unknown functions. Zbl 0456.90008
Aczél, János; Wagner, C.
3
1981
On the Thomsen condition for webs. Zbl 0482.51004
Aczél, János
3
1981
Some good and bad characters I have known and where they led. (Harmonic analysis and functional equations). Zbl 0583.43004
Aczél, János
2
1981
Partial difference equations analogous to the Cauchy-Riemann equations. Zbl 0487.39004
Aczél, János; Haruki, Shigeru
2
1981
Derivations and information functions (a tale of two surprises and a half). Zbl 0536.94003
Aczél, János
1
1981
A mixed theory of information. V: How to keep the (inset) expert honest. Zbl 0442.94004
Aczél, János
7
1980
A characterization of weighted arithmetic means. Zbl 0498.26010
Aczél, János; Wagner, C.
7
1980
A mixed theory of information. VII: Inset information functions of all degrees. Zbl 0442.94006
Aczél, János
6
1980
Functions partially constant on rings of sets. Zbl 0442.94007
Aczél, János
5
1980
On Hölder’s inequality. Zbl 0442.26010
Aczél, János; Beckenbach, E. F.
2
1980
General solution of an inequality containing several unknown functions, with applications to the generalized problem of ”How to keep the expert honest”. Zbl 0439.39005
Aczél, János; Fischer, P.; Kardos, P.
1
1980
General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions. Zbl 0451.39006
Aczél, János
1
1980
Derivations and functional equations basic to characterizations of information measures. Zbl 0406.39007
Aczél, János
2
1979
On some symmetric recursive inset measures of information. Zbl 0409.94007
Aczél, János; Kannappan, Pl.
1
1979
A mixed theory of information. I: Symmetric, recursive and measurable entropies of randomized systems of events. Zbl 0382.94012
Aczél, János; Daroczy, Z.
16
1978
A mixed theory of information. III.: Inset entropies of degree \(\beta\). Zbl 0393.94011
Aczél, János; Kannappan, Pl.
16
1978
A mixed theory of information. II: Additive inset entropies (of randomized systems of events) with measurable sum property. Zbl 0375.94008
Aczél, János
6
1978
Some recent results on characterizations of measures of information related to coding. Zbl 0383.94017
Aczél, János
2
1978
A mixed theory of information. VI: An example at last: a proper discrete analogue of the continuous Shannon measure of information (and its characterization). Zbl 0442.94005
Aczél, János
2
1978
Some recent results on characterizations of measures of information. Zbl 0482.94011
Aczél, János
1
1978
Functions of binomial type, mapping groupoids into rings. Zbl 0335.39007
Aczél, János
5
1977
Results on the entropy equation. Zbl 0348.39007
Aczél, János
2
1977
General solution of a system of functional equations satisfied by the sums of powers. Zbl 0348.39006
Aczél, János
1
1977
On two characterizations of Poisson distributions. Zbl 0324.60014
Aczél, János
1
1976
On measures of information and their characterizations. Zbl 0345.94022
Aczél, János; Daroczy, Z.
155
1975
Über das harmonische Produkt und eine korrespondierende Funktionalgleichung. (On the harmonic product and its corresponding functional equation). Zbl 0315.39008
Aczél, János; Benz, Walter
5
1975
On a system of functional equations determining price and productivity indices. Zbl 0356.90009
Aczél, János
1
1975
Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011
Aczél, János; Forte, B.; Ng, C. T.
16
1974
On a triangular functional equation and some applications, in particular to the generalized theory of information. Zbl 0292.39003
Aczél, János; Forte, B.; Ng, C. T.
4
1974
Determination of all additive quasiaritmetic mean codeword lengths. Zbl 0277.94003
Aczél, János
2
1974
On the characterization of Shannon’s entropy by Shannon’s inequality. Zbl 0277.94010
Aczél, János; Ostrowski, A. M.
6
1973
Zusammenhang zwischen einer Abelschen Kurvenkonstruktion und der Thomsen- Figur. Zbl 0275.50017
Aczél, János
1
1973
On a characterization of Poisson distributions. Zbl 0246.60009
Aczél, János
3
1972
Axiomatic characterizations of some measures of divergence in information. Zbl 0213.21201
Aczél, János; Nath, P.
2
1972
...and 84 more Documents
all top 5

Cited by 1,732 Authors

69 Aczél, János Dezső
32 Mesiar, Radko
27 Eshaghi Gordji, Madjid
27 Luce, Robert Duncan
26 Ng, Che Tat
25 Ebanks, Bruce R.
25 Park, Choonkil
23 Páles, Zsolt
23 Sahoo, Prasanna K.
22 Kannappan, Pl.
21 Chudziak, Jacek
18 Benz, Walter
18 Marley, Anthony A. J.
18 Pap, Endre
16 Alsina, Claudi
16 Brzdęk, Janusz
16 Marichal, Jean-Luc
15 Chung, Jaeyoung
15 Kim, Hark-Mahn
15 Matkowski, Janusz
14 Losonczi, László
14 Maksa, Gyula
14 Székelyhidi, László
14 Zeglami, Driss
13 Calvo, Tomasa
13 Khodaei, Hamid
12 Baker, John A.
12 Daróczy, Zoltán
12 De Baets, Bernard
12 Klement, Erich Peter
12 Najati, Abbas
12 Nath, Prem
12 Rassias, John Michael
12 Stetkær, Henrik
11 Falmagne, Jean-Claude
11 Fodor, János C.
11 Haruki, Hiroshi
11 Liu, Huawen
10 Candeal, Juan Carlos
10 Ger, Roman
10 Induráin, Esteban
10 Jun, Kil-Woung
10 Kabbaj, Samir
10 Ostaszewski, Adam J.
10 Sander, Wolfgang
9 Bae, Jae-Hyeong
9 Haruki, Shigeru
9 Lee, Min-Young
9 Rassias, Themistocles Michael
9 Rathie, Pushpa Narayan
9 Sablik, Maciej
9 Su, Yong
8 Berrone, Lucio R.
8 Heuvers, Konrad J.
8 Moszner, Zenon
8 Riedel, Thomas
8 Roberts, Fred S.
8 Šemrl, Peter
8 Torrens, Joan
8 Trillas, Enric
8 Tryhuk, Václav
7 Bustince, Humberto
7 Castillo, Enrique F.
7 Drygaś, Paweł
7 Fadli, Brahim
7 Jabłońska, Eliza
7 Jung, Soon-Mo
7 Kuczma, Marek
7 Kumar, Satish
7 Laohakosol, Vichian
7 Lundberg, Anders
7 McKiernan, Michel A.
7 Montero, Javier
7 Neuman, František
7 Park, Wongil
7 Rak, Ewa
7 Recasens, Jordi
7 Štajner-Papuga, Ivana
6 Arora, Prem Nath
6 Bossert, Walter
6 Cho, Yeol Je
6 Chung, Soon-Yeong
6 Drewniak, Józef
6 El-Fassi, Iz-Iddine
6 Elqorachi, Elhoucien
6 Fechner, Włodzimierz
6 Iverson, Geoffrey J.
6 Molnár, Lajos
6 Movsisyan, Yuri Movses
6 Narens, Louis Edward
6 Saaty, Thomas L.
6 Schwaiger, Jens
6 Sharma, Bhu Dev
6 Strambach, Karl
6 Światak, Halina
6 Torra, Vicenç
6 Wagner, Carl G.
6 Yager, Ronald R.
5 Bingham, Nicholas Hugh
5 Campión, María Jesús
...and 1,632 more Authors
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Cited in 321 Serials

394 Aequationes Mathematicae
147 Fuzzy Sets and Systems
112 Journal of Mathematical Analysis and Applications
87 Journal of Mathematical Psychology
58 Information Sciences
52 Results in Mathematics
46 European Journal of Operational Research
43 Kybernetika
38 Mathematical Social Sciences
28 Acta Mathematica Academiae Scientiarum Hungaricae
26 Linear Algebra and its Applications
24 Theory and Decision
24 Abstract and Applied Analysis
23 Journal of Economic Theory
20 Journal of Mathematical Economics
20 Proceedings of the American Mathematical Society
20 Journal of Inequalities and Applications
19 Advances in Difference Equations
18 Metrika
18 Acta Mathematica Hungarica
14 Semigroup Forum
14 Social Choice and Welfare
14 International Journal of Approximate Reasoning
14 Economic Theory
13 Applied Mathematics and Computation
13 Czechoslovak Mathematical Journal
12 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
11 Mathematische Zeitschrift
11 Applied Mathematics Letters
11 Economics Letters
10 Journal of Mathematical Physics
9 Annals of the Institute of Statistical Mathematics
9 International Journal of Intelligent Systems
8 Bulletin of the Australian Mathematical Society
8 Physica A
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Journal of Geometry
8 Monatshefte für Mathematik
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Transactions of the American Mathematical Society
8 Mathematical and Computer Modelling
8 Indagationes Mathematicae. New Series
7 Archiv der Mathematik
7 Statistics & Probability Letters
7 Games and Economic Behavior
7 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
7 Journal of Fixed Point Theory and Applications
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Journal of Multivariate Analysis
6 Computers & Operations Research
6 Annals of Operations Research
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Acta Mathematica Sinica. English Series
6 Proyecciones
6 Journal of Function Spaces
5 International Journal of General Systems
5 Advances in Mathematics
5 Journal of Approximation Theory
5 Journal of Computational and Applied Mathematics
5 Journal of Statistical Planning and Inference
5 Mathematische Nachrichten
5 Mathematica Slovaca
5 Synthese
5 Communications in Statistics. Theory and Methods
5 Mathematical Programming. Series A. Series B
5 Journal of Mathematical Sciences (New York)
5 Soft Computing
5 Journal of the Australian Mathematical Society
5 Fixed Point Theory and Applications
5 Journal of Applied Mathematics & Informatics
4 Communications in Algebra
4 Psychometrika
4 Rocky Mountain Journal of Mathematics
4 Demonstratio Mathematica
4 Journal of Algebra
4 Journal of Combinatorial Theory. Series A
4 Mathematische Annalen
4 Proceedings of the Japan Academy. Series A
4 Rendiconti del Seminario Matemàtico e Fisico di Milano
4 Statistics
4 Journal of Difference Equations and Applications
4 Journal of Discrete Mathematical Sciences & Cryptography
4 Entropy
4 Foundations of Physics
3 Communications in Mathematical Physics
3 Mathematical Biosciences
3 Periodica Mathematica Hungarica
3 Physics Letters. A
3 Problems of Information Transmission
3 Reports on Mathematical Physics
3 Ukrainian Mathematical Journal
3 Algebra Universalis
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Econometrics
3 Journal of Functional Analysis
3 Journal of Optimization Theory and Applications
3 Journal of Soviet Mathematics
3 Manuscripta Mathematica
...and 221 more Serials
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Cited in 61 Fields

832 Difference and functional equations (39-XX)
389 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
217 Information and communication theory, circuits (94-XX)
180 Real functions (26-XX)
175 Mathematical logic and foundations (03-XX)
160 Statistics (62-XX)
103 Functional analysis (46-XX)
100 Operations research, mathematical programming (90-XX)
98 Probability theory and stochastic processes (60-XX)
95 Group theory and generalizations (20-XX)
93 Computer science (68-XX)
64 Operator theory (47-XX)
46 Order, lattices, ordered algebraic structures (06-XX)
46 Measure and integration (28-XX)
45 Geometry (51-XX)
39 Ordinary differential equations (34-XX)
34 General topology (54-XX)
32 Linear and multilinear algebra; matrix theory (15-XX)
31 Topological groups, Lie groups (22-XX)
30 Functions of a complex variable (30-XX)
29 Special functions (33-XX)
26 General algebraic systems (08-XX)
24 Statistical mechanics, structure of matter (82-XX)
22 Combinatorics (05-XX)
21 Differential geometry (53-XX)
20 Number theory (11-XX)
20 Quantum theory (81-XX)
18 Partial differential equations (35-XX)
17 Dynamical systems and ergodic theory (37-XX)
17 Abstract harmonic analysis (43-XX)
15 History and biography (01-XX)
15 Numerical analysis (65-XX)
14 Commutative algebra (13-XX)
14 Associative rings and algebras (16-XX)
13 Convex and discrete geometry (52-XX)
13 Biology and other natural sciences (92-XX)
11 Systems theory; control (93-XX)
9 General and overarching topics; collections (00-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Mechanics of particles and systems (70-XX)
7 Sequences, series, summability (40-XX)
7 Approximations and expansions (41-XX)
6 Field theory and polynomials (12-XX)
6 Algebraic geometry (14-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Relativity and gravitational theory (83-XX)
5 Nonassociative rings and algebras (17-XX)
5 Integral transforms, operational calculus (44-XX)
4 Integral equations (45-XX)
4 Manifolds and cell complexes (57-XX)
3 Category theory; homological algebra (18-XX)
3 Potential theory (31-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of deformable solids (74-XX)
3 Fluid mechanics (76-XX)
3 Geophysics (86-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Mathematics education (97-XX)
1 \(K\)-theory (19-XX)

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