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Kannappan, Pl.

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Author ID: kannappan.pl Recent zbMATH articles by "Kannappan, Pl."
Published as: Kannappan, Pl.; Kannappan, PL.; Kannappan, P. L.; Kannappan, P.
Documents Indexed: 157 Publications since 1965, including 2 Books
Reviewing Activity: 113 Reviews
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Serials

13 Aequationes Mathematicae
7 Annales Polonici Mathematici
5 Glasnik Matematički. Serija III
4 Journal of Mathematical and Physical Sciences
4 Demonstratio Mathematica
4 Indian Journal of Mathematics
4 Kybernetika
4 Results in Mathematics
3 Periodica Mathematica Hungarica
3 Canadian Mathematical Bulletin
3 Information and Control
3 International Journal of Mathematics and Mathematical Sciences
3 Proceedings of the American Mathematical Society
3 Utilitas Mathematica
3 Stochastica
3 Comptes Rendus Mathématiques de l’Académie des Sciences
3 International Journal of Mathematical and Statistical Sciences
2 American Mathematical Monthly
2 Journal of Mathematical Analysis and Applications
2 Funkcialaj Ekvacioj. Serio Internacia
2 The Journal of the Indian Mathematical Society. New Series
2 Pacific Journal of Mathematics
2 Publicationes Mathematicae
2 Studia Scientiarum Mathematicarum Hungarica
2 Tohoku Mathematical Journal. Second Series
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Journal of the Ramanujan Mathematical Society
2 Mathware & Soft Computing
2 Matematichki Vesnik. New Series
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Metrika
1 Annals of the Institute of Statistical Mathematics
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Fundamenta Mathematicae
1 Journal of Applied Probability
1 Journal of the London Mathematical Society. Second Series
1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya
1 Mathematica Japonica
1 Mathematics Reports
1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica
1 The Mathematics Student
1 Nanta Mathematica
1 Portugaliae Mathematica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the National Academy of Sciences, India. Section A
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Trabajos de Estadistica y de Investigacion Operativa
1 Soochow Journal of Mathematics
1 Acta Mathematica Universitatis Comenianae
1 Analysis
1 Acta Mathematica Hungarica
1 Radovi Matematički
1 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae
1 Bulletin of the Allahabad Mathematical Society
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Far East Journal of Mathematical Sciences
1 Nonlinear Functional Analysis and Applications
1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne
1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
1 Methods of Operations Research
1 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars
1 Mathematica
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 830 times in 542 Documents Cited by Year
Functional equations and inequalities with applications. Zbl 1178.39032
Kannappan, Pl.
151
2009
Quadratic functional equation and inner product spaces. Zbl 0836.39006
Kannappan, Pl.
84
1995
The functional equation \(f(xy)+ f(xy^{-1}) = 2f(x)f(y)\) for groups. Zbl 0169.48102
Kannappan, Pl.
56
1968
A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
33
1991
A directed-divergence function of type \(\beta\). Zbl 0231.94015
Rathie, P. N.; Kannappan, Pl.
33
1972
On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301
Kannappan, Pl.; Sahoo, P. K.
20
2003
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
Measures of distance between probability distributions. Zbl 0669.60025
Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K.
18
1989
Measurable solutions of functional equations related to information theory. Zbl 0262.94019
Kannappan, Pl.; Ng, C. T.
16
1973
A mixed theory of information. III.: Inset entropies of degree \(\beta\). Zbl 0393.94011
Aczél, János; Kannappan, Pl.
16
1978
A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002
Chung, J. K.; Kannappan, Pl.; Ng, C. T.
15
1985
Some relations between additive functions. I. Zbl 0194.17401
Kannappan, P.; Kurepa, S.
14
1970
A functional equation for the cosine. Zbl 0165.50003
Kannappan, P.
14
1968
On Shannon’s entropy, directed divergence and inaccuracy. Zbl 0241.94020
Kannappan, Pl.
13
1972
On some functional equations from additive and non-additive measures. I. Zbl 0468.39002
Kannappan, PL.
13
1980
An inaccuracy function of type \(\beta\). Zbl 0338.94016
Rathie, P. N.; Kannappan, Pl.
12
1973
On the Cauchy difference. Zbl 0796.39011
Baron, K.; Kannappan, PL.
12
1993
On the Pexider difference. Zbl 0715.39012
Baron, K.; Kannappan, PL.
11
1990
On a generalization of some measures in information theory. Zbl 0287.39006
Kannappan, Pl.
11
1974
Cauchy differences that depend on the product of arguments. Zbl 0780.39007
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
10
1992
On a characterization of directed divergence. Zbl 0255.94011
Kannappan, P. L.; Rathie, P. N.
9
1973
On a functional equation connected with Shannon’s entropy. Zbl 0237.39007
Rathie, P. N.; Kannappan, PL.
8
1971
Note on generalized information function. Zbl 0384.39003
Kannappan, PL.
7
1978
A mixed theory of information. IV: Inset-inaccuracy and directed divergence. Zbl 0433.94005
Kannappan, Pl.
7
1980
Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
6
1987
Some relations between additive functions. II. Zbl 0214.37701
Kannappan, Pl.; Kurepa, S.
6
1971
On some functional equations from additive and non-additive measures. V. Zbl 0509.39013
Kannappan, Pl.
6
1982
On generalized information function. Zbl 0333.94008
Kannappan, PL.; Rathie, P. N.
6
1975
On a generalization of sum form functional equation. III. Zbl 0468.39005
Kannappan, PL.
6
1980
An application of a functional equation to information theory. Zbl 0235.39001
Kannappan, P.; Rathie, P. N.
6
1972
A characterization of low degree polynomials. Zbl 0830.39011
Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S.
5
1995
On generalizations of the Pompeiu functional equation. Zbl 0897.39005
Kannappan, Pl.; Sahoo, P. K.
5
1998
On quadratic functional equation. Zbl 0957.39006
Kannappan, Pl.
5
2000
On functional equations and measures of information. I. Zbl 0624.39004
Kannappan, PL.; Ng, C. T.
5
1985
On a new characterization of directed-divergence in information theory. Zbl 0298.94032
Rathie, P. N.; Kannappan, Pl.
5
1973
On the solution of a functional equation connected with inaccuracy. Zbl 0432.39004
Kannappan, PL.; Rathie, P. N.
5
1975
Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
5
1988
A mixed theory of information. VIII: Inset measures depending upon several distributions. Zbl 0521.94006
Kannappan, Pl.; Sander, W.
4
1982
On a generalized fundamental equation of information. Zbl 0522.39009
Kannappan, P. L.; Ng, C. T.
4
1983
On directed divergence and inaccuracy. Zbl 0248.94029
Kannappan, Pl.
4
1972
On a functional equation related to the Cauchy equation. Zbl 0281.39006
Kannappan, Pl.; Kuczma, M.
4
1974
On Shannon’s entropy and a functional equation of Abel. Zbl 0364.39001
Kannappan, Pl.
4
1977
An application of a differential equation in information theory. Zbl 0456.94008
Kannappan, Pl.
4
1979
On some functional equations from additive and nonadditive measures. III. Zbl 0468.39003
Kannappan, PL.
4
1980
On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007
Kannappan, P. L.; Sahoo, P. K.; Chung, J. K.
4
1993
General two-place information functions. Zbl 0489.94005
Aczél, János; Kannappan, Pl.
4
1982
On two trigonometric functional equations. Zbl 0659.39001
Chung, J. K.; Kannappan, PL.; Ng, C. T.
4
1988
On inner product spaces. I. Zbl 0949.39011
Kannappan, Pl.
3
1997
Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007
Kannappan, Pl.; Sahoo, P. K.
3
1997
Rudin’s problem on groups and a generalization of mean value theorem. Zbl 1023.39017
Kannappan, Pl.
3
2003
Finding sum of powers on arithmetic progressions with application of Cauchy’s equation. Zbl 1053.11014
Kannappan, Pl.; Zhang, Weinian
3
2002
On two functional equations from information theory. Zbl 0612.39005
Kannappan, PL.
3
1980
Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009
Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C.
3
1983
On various characterizations of generalized directed divergence. Zbl 0362.94029
Kannappan, Pl.
3
1975
On functional equations and measures of information. II. Zbl 0428.94006
Kannappan, Pl.; Ng, C. T.
3
1980
On some functional equations from additive and nonadditive measures. IV. Zbl 0468.39004
Kannappan, PL.
3
1981
On the functional equation \(f(x+y)+f(x-y) = 2f(x)f(y)\). Zbl 0136.12403
Kannappan, Pl.
3
1965
On a functional equation connected to sum form nonadditive information measures on an open domain. Zbl 0568.39004
Kannappan, Pl.; Sahoo, P. K.
3
1985
On a generalization of sum form functional equation. V. Zbl 0571.39006
Kannappan, Pl.
3
1985
On a functional equation associated with Simpson’s rule. Zbl 0879.39007
Kannappan, Pl.; Riedel, T.; Sahoo, P. K.
2
1997
Application of Cauchy’s equation in combinatorics and genetics. Zbl 0976.92016
Kannappan, Pl.
2
2001
Sum of powers of integers and the additive Cauchy equation. Zbl 0988.39022
Kannappan, Pl.
2
2001
On a functional equation connected to sum form nonadditive information measures on an open domain. I. Zbl 0609.39005
Kannappan, PL.; Sahoo, P. K.
2
1986
On the general solution of a functional equation connected to sum form information measures on open domain. III. Zbl 0628.39009
Kannappan, PL.; Sahoo, P. K.
2
1986
A functional identity characterizing polynomials. Zbl 0633.39005
Cross, G. E.; Kannappan, PL.
2
1987
Characterizing topology on an Abelian semigroup by a functional equation. Zbl 0213.03102
Kannappan, Pl.
2
1969
On a generalization of sum form functional equation. IV. Zbl 0509.39012
Kannappan, Pl.
2
1980
On a generalization of sum form functional equation. I. Zbl 0563.39004
Kannappan, PL.
2
1983
Representation of sum form information measures with weighted additivity of type \((\alpha,\beta)\) on an open domain. Zbl 0708.94007
Kannappan, PL.; Sahoo, P. K.
2
1990
On weak inverse property loops. Zbl 0241.20062
Kannappan, Pl.
2
1972
A functional equation and its application to information theory. Zbl 0284.39013
Kannappan, P.; Ng, C. T.
2
1974
On a generalized directed-divergence function. Zbl 0316.94022
Kannappan, Pl.; Rathie, P. N.
2
1974
On Moufang and extra loops. Zbl 0353.20044
Kannappan, Pl.
2
1976
A note on some theorem in information theory. Zbl 0365.94028
Kaminski, Andrzej; Kannappan, P. L.
2
1977
Cauchy equations and some of their applications. Zbl 0731.39009
Kannappan, PL.
2
1989
On a characterization of inaccuracy. Zbl 0442.94003
Rathie, P. N.; Kannappan, Pl.
2
1977
Distributional solutions in information theory. II. Zbl 0449.94008
Kaminski, A.; Kannappan, Pl.
2
1980
Generalized Bol functional equation. Zbl 0196.04002
Belousov, V. D.; Kannappan, P. L.
2
1970
On sine functional equation. Zbl 0186.47801
Kannappan, Pl.
2
1969
A note on cosine functional equation for groups. Zbl 0234.39009
Kannappan, PL.
2
1971
On a functional equation connected to sum form nonadditive information measures on an open domain. II. Zbl 0652.39010
Kannappan, PL.; Sahoo, P. K.
2
1987
Rotation invariant separable functions are Gaussian. Zbl 0760.39002
Kannappan, PL.; Sahoo, P. K.
1
1992
Characterization of polynomials and divided difference. Zbl 0852.39005
Kannappan, P. L.; Sahoo, P. K.
1
1995
Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015
Kannappan, P. L.; Sahoo, P. K.
1
1993
Normal distributions and the functional equation \(f(x+y)g(x-y)=f(x)f(y)g(x)g(-y)\). Zbl 0976.39019
Kannappan, Pl.
1
2000
A property of quadratic polynomials in two variables. Zbl 1038.34071
Kannappan, P. L.; Sahoo, P. K.
1
2001
On a functional equation connected to sum form nonadditive information measures on an open domain. III. Zbl 0609.39006
Kannappan, PL.; Sahoo, P. K.
1
1985
On the general solution of a functional equation connected to sum form information measures on open domain. IV. Zbl 0628.39010
Kannappan, PL.; Sahoo, P. K.
1
1986
On a functional equation in two variables connected to sum form information measures on an open domain. Zbl 0629.39006
Kannappan, PL.; Sahoo, P. K.
1
1986
On the measurable solution of a functional equation in two variables. Zbl 0496.39002
Kannappan, Pl.; Rathie, P. N.
1
1978
On a multiplace functional equation related to information measures and functions. Zbl 0507.39003
Kannappan, Pl.
1
1983
On a generalization of the Shannon functional inequality. Zbl 0674.94005
Kannappan, PL.; Sahoo, P. K.
1
1989
An axiomatic characterization of J-divergence. Zbl 0678.62012
Kannappan, PL.; Rathie, P. N.
1
1989
Two functional identities characterizing polynomials. Zbl 0683.39006
Kannappan, PL.; Crstici, B.
1
1989
On entropies with the sum property on open domain. Zbl 0683.39007
Kannappan, PL.; Sander, Wolfgang
1
1989
On the general solution of a functional equation connected to sum form information measures on open domain. V. Zbl 0716.39007
Kannappan, PL.; Sahoo, P. K.
1
1988
Groupoids and groups. Zbl 0273.20043
Kannappan, Pl.
1
1973
On inverse property loops. Zbl 0279.20055
Kannappan, Pl.
1
1973
Theory of functional equations. Zbl 0282.39005
Kannappan, Pl.
1
1966
On a functional equation connected with generalized directed-divergence. Zbl 0291.39009
Kannappan, Pl.
1
1974
Functional equations and inequalities with applications. Zbl 1178.39032
Kannappan, Pl.
151
2009
On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301
Kannappan, Pl.; Sahoo, P. K.
20
2003
Rudin’s problem on groups and a generalization of mean value theorem. Zbl 1023.39017
Kannappan, Pl.
3
2003
Klee’s trigonometry problem. Zbl 1048.39018
Kannappan, Pl.
1
2003
Finding sum of powers on arithmetic progressions with application of Cauchy’s equation. Zbl 1053.11014
Kannappan, Pl.; Zhang, Weinian
3
2002
Application of Cauchy’s equation in combinatorics and genetics. Zbl 0976.92016
Kannappan, Pl.
2
2001
Sum of powers of integers and the additive Cauchy equation. Zbl 0988.39022
Kannappan, Pl.
2
2001
A property of quadratic polynomials in two variables. Zbl 1038.34071
Kannappan, P. L.; Sahoo, P. K.
1
2001
On quadratic functional equation. Zbl 0957.39006
Kannappan, Pl.
5
2000
Normal distributions and the functional equation \(f(x+y)g(x-y)=f(x)f(y)g(x)g(-y)\). Zbl 0976.39019
Kannappan, Pl.
1
2000
On generalizations of the Pompeiu functional equation. Zbl 0897.39005
Kannappan, Pl.; Sahoo, P. K.
5
1998
On inner product spaces. I. Zbl 0949.39011
Kannappan, Pl.
3
1997
Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007
Kannappan, Pl.; Sahoo, P. K.
3
1997
On a functional equation associated with Simpson’s rule. Zbl 0879.39007
Kannappan, Pl.; Riedel, T.; Sahoo, P. K.
2
1997
Quadratic functional equation and inner product spaces. Zbl 0836.39006
Kannappan, Pl.
84
1995
A characterization of low degree polynomials. Zbl 0830.39011
Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S.
5
1995
Characterization of polynomials and divided difference. Zbl 0852.39005
Kannappan, P. L.; Sahoo, P. K.
1
1995
Divided differences and polynomials. Zbl 0823.39002
Kannappan, PL.
1
1994
An equation associated with the distance between probability distributions. Zbl 0823.39006
Kannappan, PL.; Sahoo, P. K.; Chung, J. K.
1
1994
On the Cauchy difference. Zbl 0796.39011
Baron, K.; Kannappan, PL.
12
1993
On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007
Kannappan, P. L.; Sahoo, P. K.; Chung, J. K.
4
1993
Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015
Kannappan, P. L.; Sahoo, P. K.
1
1993
Sum form equations of multiplicative type. Zbl 0823.39005
Kannappan, PL.; Sahoo, P. K.
1
1993
Cauchy differences that depend on the product of arguments. Zbl 0780.39007
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
10
1992
Rotation invariant separable functions are Gaussian. Zbl 0760.39002
Kannappan, PL.; Sahoo, P. K.
1
1992
Kullback-Leibler type distance measures between probability distributions. Zbl 0780.60019
Kannappan, PL.; Sahoo, P. K.
1
1992
A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021
Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K.
33
1991
On the Pexider difference. Zbl 0715.39012
Baron, K.; Kannappan, PL.
11
1990
Representation of sum form information measures with weighted additivity of type \((\alpha,\beta)\) on an open domain. Zbl 0708.94007
Kannappan, PL.; Sahoo, P. K.
2
1990
Measures of distance between probability distributions. Zbl 0669.60025
Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K.
18
1989
Cauchy equations and some of their applications. Zbl 0731.39009
Kannappan, PL.
2
1989
On a generalization of the Shannon functional inequality. Zbl 0674.94005
Kannappan, PL.; Sahoo, P. K.
1
1989
An axiomatic characterization of J-divergence. Zbl 0678.62012
Kannappan, PL.; Rathie, P. N.
1
1989
Two functional identities characterizing polynomials. Zbl 0683.39006
Kannappan, PL.; Crstici, B.
1
1989
On entropies with the sum property on open domain. Zbl 0683.39007
Kannappan, PL.; Sander, Wolfgang
1
1989
Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
5
1988
On two trigonometric functional equations. Zbl 0659.39001
Chung, J. K.; Kannappan, PL.; Ng, C. T.
4
1988
On the general solution of a functional equation connected to sum form information measures on open domain. V. Zbl 0716.39007
Kannappan, PL.; Sahoo, P. K.
1
1988
Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
6
1987
A functional identity characterizing polynomials. Zbl 0633.39005
Cross, G. E.; Kannappan, PL.
2
1987
On a functional equation connected to sum form nonadditive information measures on an open domain. II. Zbl 0652.39010
Kannappan, PL.; Sahoo, P. K.
2
1987
Characterization of some measures of information theory and the sum form functional equations - generalized directed divergence. I. Zbl 0642.94016
Kannappan, PL.
1
1987
On a functional equation connected to sum form nonadditive information measures on an open domain. I. Zbl 0609.39005
Kannappan, PL.; Sahoo, P. K.
2
1986
On the general solution of a functional equation connected to sum form information measures on open domain. III. Zbl 0628.39009
Kannappan, PL.; Sahoo, P. K.
2
1986
On the general solution of a functional equation connected to sum form information measures on open domain. IV. Zbl 0628.39010
Kannappan, PL.; Sahoo, P. K.
1
1986
On a functional equation in two variables connected to sum form information measures on an open domain. Zbl 0629.39006
Kannappan, PL.; Sahoo, P. K.
1
1986
A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002
Chung, J. K.; Kannappan, Pl.; Ng, C. T.
15
1985
On functional equations and measures of information. I. Zbl 0624.39004
Kannappan, PL.; Ng, C. T.
5
1985
On a functional equation connected to sum form nonadditive information measures on an open domain. Zbl 0568.39004
Kannappan, Pl.; Sahoo, P. K.
3
1985
On a generalization of sum form functional equation. V. Zbl 0571.39006
Kannappan, Pl.
3
1985
On a functional equation connected to sum form nonadditive information measures on an open domain. III. Zbl 0609.39006
Kannappan, PL.; Sahoo, P. K.
1
1985
On a generalized fundamental equation of information. Zbl 0522.39009
Kannappan, P. L.; Ng, C. T.
4
1983
Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009
Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C.
3
1983
On a generalization of sum form functional equation. I. Zbl 0563.39004
Kannappan, PL.
2
1983
On a multiplace functional equation related to information measures and functions. Zbl 0507.39003
Kannappan, Pl.
1
1983
On some functional equations from additive and non-additive measures. V. Zbl 0509.39013
Kannappan, Pl.
6
1982
A mixed theory of information. VIII: Inset measures depending upon several distributions. Zbl 0521.94006
Kannappan, Pl.; Sander, W.
4
1982
General two-place information functions. Zbl 0489.94005
Aczél, János; Kannappan, Pl.
4
1982
On some functional equations from additive and nonadditive measures. IV. Zbl 0468.39004
Kannappan, PL.
3
1981
On some functional equations from additive and non-additive measures. I. Zbl 0468.39002
Kannappan, PL.
13
1980
A mixed theory of information. IV: Inset-inaccuracy and directed divergence. Zbl 0433.94005
Kannappan, Pl.
7
1980
On a generalization of sum form functional equation. III. Zbl 0468.39005
Kannappan, PL.
6
1980
On some functional equations from additive and nonadditive measures. III. Zbl 0468.39003
Kannappan, PL.
4
1980
On two functional equations from information theory. Zbl 0612.39005
Kannappan, PL.
3
1980
On functional equations and measures of information. II. Zbl 0428.94006
Kannappan, Pl.; Ng, C. T.
3
1980
On a generalization of sum form functional equation. IV. Zbl 0509.39012
Kannappan, Pl.
2
1980
Distributional solutions in information theory. II. Zbl 0449.94008
Kaminski, A.; Kannappan, Pl.
2
1980
On some generalized functional equations in information theory. Zbl 0439.39003
Kannappan, PL.
1
1980
On some functional equations from additive and nonadditive measures. II. Zbl 0479.39001
Kannappan, Pl.
1
1980
An application of a differential equation in information theory. Zbl 0456.94008
Kannappan, Pl.
4
1979
Distributional solutions in information theory. I. Zbl 0404.94004
Kaminski, A.; Kannappan, Pl.; Mikusinski, J.
1
1979
On some symmetric recursive inset measures of information. Zbl 0409.94007
Aczél, János; Kannappan, Pl.
1
1979
A mixed theory of information. III.: Inset entropies of degree \(\beta\). Zbl 0393.94011
Aczél, János; Kannappan, Pl.
16
1978
Note on generalized information function. Zbl 0384.39003
Kannappan, PL.
7
1978
On the measurable solution of a functional equation in two variables. Zbl 0496.39002
Kannappan, Pl.; Rathie, P. N.
1
1978
On a generalized directed divergence and related measures. Zbl 0401.94012
Kannappan, Pl.; Rathie, P. N.
1
1978
On the generalized ’extra’ functional equation. Zbl 0434.39011
Kannappan, PL.; Sathyabhama, V.
1
1978
On Shannon’s entropy and a functional equation of Abel. Zbl 0364.39001
Kannappan, Pl.
4
1977
A note on some theorem in information theory. Zbl 0365.94028
Kaminski, Andrzej; Kannappan, P. L.
2
1977
On a characterization of inaccuracy. Zbl 0442.94003
Rathie, P. N.; Kannappan, Pl.
2
1977
On Moufang and extra loops. Zbl 0353.20044
Kannappan, Pl.
2
1976
On generalized information function. Zbl 0333.94008
Kannappan, PL.; Rathie, P. N.
6
1975
On the solution of a functional equation connected with inaccuracy. Zbl 0432.39004
Kannappan, PL.; Rathie, P. N.
5
1975
On various characterizations of generalized directed divergence. Zbl 0362.94029
Kannappan, Pl.
3
1975
On a characterization of Gaussian measures in a Hilbert space. Zbl 0322.60005
Kannan, D.; Kannappan, Pl.
1
1975
On a generalization of some measures in information theory. Zbl 0287.39006
Kannappan, Pl.
11
1974
On a functional equation related to the Cauchy equation. Zbl 0281.39006
Kannappan, Pl.; Kuczma, M.
4
1974
A functional equation and its application to information theory. Zbl 0284.39013
Kannappan, P.; Ng, C. T.
2
1974
On a generalized directed-divergence function. Zbl 0316.94022
Kannappan, Pl.; Rathie, P. N.
2
1974
On a functional equation connected with generalized directed-divergence. Zbl 0291.39009
Kannappan, Pl.
1
1974
On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011
Kannappan, Pl.; Ng, C. T.
1
1974
Measurable solutions of functional equations related to information theory. Zbl 0262.94019
Kannappan, Pl.; Ng, C. T.
16
1973
An inaccuracy function of type \(\beta\). Zbl 0338.94016
Rathie, P. N.; Kannappan, Pl.
12
1973
On a characterization of directed divergence. Zbl 0255.94011
Kannappan, P. L.; Rathie, P. N.
9
1973
On a new characterization of directed-divergence in information theory. Zbl 0298.94032
Rathie, P. N.; Kannappan, Pl.
5
1973
Groupoids and groups. Zbl 0273.20043
Kannappan, Pl.
1
1973
On inverse property loops. Zbl 0279.20055
Kannappan, Pl.
1
1973
On various characterizations of directed-divergence. Zbl 0298.94031
Kannappan, Pl.; Rathie, P. N.
1
1973
A directed-divergence function of type \(\beta\). Zbl 0231.94015
Rathie, P. N.; Kannappan, Pl.
33
1972
On Shannon’s entropy, directed divergence and inaccuracy. Zbl 0241.94020
Kannappan, Pl.
13
1972
...and 18 more Documents
all top 5

Cited by 423 Authors

34 Kannappan, Pl.
33 Eshaghi Gordji, Madjid
30 Sahoo, Prasanna K.
22 Ebanks, Bruce R.
20 Kabbaj, Samir
19 Brzdęk, Janusz
19 Park, Choonkil
18 Ng, Che Tat
17 Kim, Gwang Hui
17 Zeglami, Driss
16 Najati, Abbas
15 Khodaei, Hamid
14 Stetkær, Henrik
12 Ciepliński, Krzysztof
12 El-Fassi, Iz-Iddine
12 Fadli, Brahim
11 Aczél, János Dezső
11 Rassias, John Michael
9 Jung, Soon-Mo
9 Losonczi, László
9 Nath, Prem
9 Rassias, Themistocles Michael
8 Bahyrycz, Anna
8 Gil, María Angeles
8 Lee, Young-Su
8 Rathie, Pushpa Narayan
8 Sander, Wolfgang
7 Almahalebi, Muaadh
7 Cho, Yeol Je
7 Eskandani, Golamreza Zamani
7 Laohakosol, Vichian
6 Charifi, Ahmed
6 Elqorachi, Elhoucien
6 Ghaemi, Mohammad Bagher
6 Ponpetch, Kanet
6 Wang, Zhihua
6 Yang, Xiuzhong
5 Chung, Jaeyoung
5 Lee, Young Whan
5 Łukasik, Radosław
5 Moghimi, Mohammad Bagher Farshbaf
5 Sikorska, Justyna
5 Zaripov, Rinat G.
4 Bae, Jae-Hyeong
4 Baker, John A.
4 Baron, Karol
4 Bodaghi, Abasalt
4 Chahbi, Abdellatif
4 Chang, Ick-Soon
4 Fechner, Włodzimierz
4 Ger, Roman
4 Kim, Hark-Mahn
4 Linchuk, Yurij Stepanovych
4 Majani, Hamid
4 Maksa, Gyula
4 Marley, Anthony A. J.
4 Mavecha, Sukrawan
4 Riedel, Thomas
4 Tial, Mohamed
3 Ajebbar, Omar
3 Alizadeh, Badrkhan
3 Arunkumar, Mohan
3 Ayoubi, Mohamed
3 Boros, Zoltán
3 Chudziak, Małgorzata
3 Chung, Soon-Yeong
3 Ebadian, Ali
3 Elhoucien, Elqorachi
3 Găvruţă, Paşc
3 Gil, Pedro A.
3 Gselmann, Eszter
3 Hunt, Heather B.
3 Jabłońska, Eliza
3 Jung, Yong-Soo
3 Lee, Jung-Rye
3 Liu, Guofen
3 Luce, Robert Duncan
3 Malejki, Renata
3 Olko, Jolanta
3 Parnami, J. C.
3 Perkins, Allison M.
3 Pinelas, Sandra
3 Piszczek, Magdalena
3 Rätz, Jürg
3 Sablik, Maciej
3 Sharma, Bhu Dev
3 Singh, Dhiraj Kumar
3 Singh, Ranjit J.
3 Sinopoulos, Pavlos
3 Székelyhidi, László
3 Szostok, Tomasz
3 Tamilvanan, K.
3 Taneja, Inder Jeet
3 Vasudeva, Harkrishan Lal
3 Wagner, Carl G.
3 Xu, Tianzhou
2 Abbaszadeh, Sadegh
2 Adell, José Antonio
2 Ahmed, Redouani
2 Aissi, Youssef
...and 323 more Authors
all top 5

Cited in 139 Serials

120 Aequationes Mathematicae
30 Journal of Mathematical Analysis and Applications
27 Results in Mathematics
18 Abstract and Applied Analysis
17 Advances in Difference Equations
13 Journal of Inequalities and Applications
13 Journal of Fixed Point Theory and Applications
12 Kybernetika
12 Acta Mathematica Hungarica
10 Proyecciones
9 Bulletin of the Australian Mathematical Society
9 Metrika
7 Proceedings of the American Mathematical Society
7 Applied Mathematics Letters
5 Periodica Mathematica Hungarica
5 Applied Mathematics and Computation
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Linear Algebra and its Applications
5 Russian Physics Journal
5 Journal of Nonlinear Science and Applications
5 Journal of Function Spaces
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Demonstratio Mathematica
4 Information Sciences
4 Journal of Statistical Planning and Inference
4 Communications in Statistics. Theory and Methods
4 Communications of the Korean Mathematical Society
4 Mediterranean Journal of Mathematics
4 Journal of Linear and Topological Algebra
3 Kybernetes
3 Manuscripta Mathematica
3 Semigroup Forum
3 Tohoku Mathematical Journal. Second Series
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Journal of Information & Optimization Sciences
3 Annales Mathematicae Silesianae
3 Journal of Function Spaces and Applications
3 Journal of Mathematical Inequalities
3 Tbilisi Mathematical Journal
3 Afrika Matematika
2 Ukrainian Mathematical Journal
2 Czechoslovak Mathematical Journal
2 Dissertationes Mathematicae
2 Fuzzy Sets and Systems
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Multivariate Analysis
2 Monatshefte für Mathematik
2 Quaestiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theory and Decision
2 Cybernetics and Systems
2 Statistics
2 Applications of Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Indagationes Mathematicae. New Series
2 Journal of Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Journal of Interdisciplinary Mathematics
2 Acta Mathematica Sinica. English Series
2 Applied Mathematics E-Notes
2 International Journal of Geometric Methods in Modern Physics
2 Fixed Point Theory and Applications
2 Complex Analysis and Operator Theory
2 European Journal of Pure and Applied Mathematics
2 Acta Universitatis Sapientiae. Mathematica
2 Advances in Pure and Applied Mathematics
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Aplikace Matematiky
1 Archiv der Mathematik
1 Compositio Mathematica
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of Mathematical Psychology
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Publications de l’Institut Mathématique. Nouvelle Série
1 RAIRO, Informatique Théorique
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Trabajos de Estadistica y de Investigacion Operativa
1 Transactions of the American Mathematical Society
1 Mathematical Social Sciences
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 SIAM Journal on Algebraic and Discrete Methods
1 Order
1 Probability Theory and Related Fields
1 Constructive Approximation
1 Facta Universitatis. Series Mathematics and Informatics
1 International Journal of Approximate Reasoning
...and 39 more Serials
all top 5

Cited in 44 Fields

449 Difference and functional equations (39-XX)
92 Information and communication theory, circuits (94-XX)
70 Functional analysis (46-XX)
49 Operator theory (47-XX)
26 Statistics (62-XX)
21 Group theory and generalizations (20-XX)
17 Real functions (26-XX)
13 General topology (54-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Number theory (11-XX)
7 Topological groups, Lie groups (22-XX)
7 Measure and integration (28-XX)
7 Special functions (33-XX)
6 Functions of a complex variable (30-XX)
6 Ordinary differential equations (34-XX)
6 Abstract harmonic analysis (43-XX)
6 Probability theory and stochastic processes (60-XX)
6 Operations research, mathematical programming (90-XX)
5 Commutative algebra (13-XX)
5 Associative rings and algebras (16-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Computer science (68-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Nonassociative rings and algebras (17-XX)
3 Partial differential equations (35-XX)
3 Approximations and expansions (41-XX)
3 Numerical analysis (65-XX)
2 History and biography (01-XX)
2 General algebraic systems (08-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year