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## Ng, Che Tat

Compute Distance To:
 Author ID: ng.che-tat Published as: Ng, C. T.; Ng, Che Tat; Ng, Che That; Ng, C. External Links: MGP
 Documents Indexed: 104 Publications since 1970 Reviewing Activity: 2 Reviews
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#### Co-Authors

 26 single-authored 16 Aczél, János Dezső 15 Ebanks, Bruce R. 15 Kannappan, Pl. 9 Forte, Bruno 7 Luce, Robert Duncan 6 Marley, Anthony A. J. 6 Sahoo, Prasanna K. 5 Zhang, Weinian 3 Heuvers, Konrad J. 3 Zhao, Houyu 2 Maksa, Gyula 1 Armitage, Peter 1 Baker, John A. 1 Cai, Xiaoqiang 1 Coffman, Edward Grady jun. 1 Daróczy, Zoltán 1 Davidson, Kenneth R. 1 Gerber, Andrew G. 1 Gilányi, Attila 1 Hajdu, Gabriella 1 Haruki, Shigeru 1 Holloway, A. G. L. 1 Hou, Xiaorong 1 Járai, Antal jun. 1 Kovalev, Alexandr 1 Leung, Joseph Y.-T. 1 Li, Lin 1 Lin, Xia 1 Lo Schiavo, Mauro 1 Lu, Lingfa 1 Lundberg, Anders 1 Nikodem, Kazimierz 1 Páles, Zsolt 1 Timkovsky, Vadim G. 1 Wagner, Carl G. 1 Wong, Andrew K. C. 1 Yang, Bibo
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#### Serials

 20 Aequationes Mathematicae 6 Proceedings of the American Mathematical Society 5 Publicationes Mathematicae 5 Linear Algebra and its Applications 4 Journal of Mathematical Psychology 4 Results in Mathematics 3 Journal of Mathematical Analysis and Applications 3 Information and Control 3 European Journal of Operational Research 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Annales Polonici Mathematici 2 Utilitas Mathematica 2 Economic Theory 2 Journal of Difference Equations and Applications 2 Journal of Scheduling 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 IEEE Transactions on Information Theory 1 International Journal for Numerical Methods in Fluids 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Applied Probability 1 Journal of Combinatorics, Information & System Sciences 1 Mathematics Reports 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Nanta Mathematica 1 Pacific Journal of Mathematics 1 Real Analysis Exchange 1 Semigroup Forum 1 Theory and Decision 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 SIAM Journal on Algebraic and Discrete Methods 1 Grazer Mathematische Berichte 1 Scientiae Mathematicae Japonicae 1 Journal of the Australian Mathematical Society 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne
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#### Fields

 70 Difference and functional equations (39-XX) 33 Information and communication theory, circuits (94-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Real functions (26-XX) 7 Operations research, mathematical programming (90-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Computer science (68-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

79 Publications have been cited 435 times in 223 Documents Cited by Year
Invariant curves for planar mappings. Zbl 0891.34070
Ng, C. T.; Zhang, Weinian
1997
Measures of distance between probability distributions. Zbl 0669.60025
Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K.
1989
Jensen’s functional equation on groups. Zbl 0688.39007
Ng, C. T.
1990
Representation for measures of information with the branching property. Zbl 0279.94018
Ng, C. T.
1974
Measurable solutions of functional equations related to information theory. Zbl 0262.94019
Kannappan, Pl.; Ng, C. T.
1973
On approximately convex functions. Zbl 0823.26006
Ng, C. T.; Nikodem, K.
1993
Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011
Aczél, János; Forte, B.; Ng, C. T.
1974
A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002
Chung, J. K.; Kannappan, Pl.; Ng, C. T.
1985
Symmetric second differences in product form on groups. Zbl 0731.39010
Aczél, János; Chung, J. K.; Ng, C. T.
1989
On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1995
Jensen’s functional equation on groups. II. Zbl 0938.39024
Ng, Che Tat
1999
On midconvex functions with midconcave bounds. Zbl 0659.39004
Ng, C. T.
1988
Jensen’s functional equation on groups. III. Zbl 1004.39018
Ng, Che Tat
2001
Quadratic invariant curves for a planar mapping. Zbl 0953.39010
Ng, C. T.; Zhang, Weinian
2000
Aggregation theorems for allocation problems. Zbl 0538.05006
Aczél, János; Ng, C. T.; Wagner, C.
1984
Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010
Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János
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
2008
Kernel of the second order Cauchy difference on groups. Zbl 1286.39012
Ng, Che Tat; Zhao, Hou Yu
2013
Functions generating Schur-convex sums. Zbl 0634.39014
Ng, C. T.
1987
The equation $$F(x)+M(x)G(1/x)=0$$ and homogeneous biadditive forms. Zbl 0622.39006
Ng, C. T.
1987
Local boundedness and continuity for a functional equation on topological spaces. Zbl 0272.39009
Ng, C. T.
1973
Utility of gambling when events are valued: An application of inset entropy. Zbl 1168.91336
Ng, C. T.; Luce, R. Duncan; Marley, A. A. J.
2009
Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
1987
Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions. Zbl 0517.39006
Aczél, János; Ng, C. T.
1983
Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
1988
A systems approach to recursive economic forecasting and seasonal adjustment. Zbl 0681.90030
Young, P.; Ng, C.; Armitage, P.
1989
On functional equations and measures of information. I. Zbl 0624.39004
Kannappan, PL.; Ng, C. T.
1985
Homogeneous tri-additive forms and derivations. Zbl 1230.39011
Ebanks, Bruce; Ng, C. T.
2011
A Pexider-Jensen functional equation on groups. Zbl 1084.39020
Ng, Che Tat
2005
On two trigonometric functional equations. Zbl 0659.39001
Chung, J. K.; Kannappan, PL.; Ng, C. T.
1988
Functional characterizations of basic properties of utility representations. Zbl 1032.39013
Ng, Che Tat; Luce, R. Duncan; Aczél, János
2002
Measures of information with the branching property over a graph and their representations. Zbl 0423.94006
Ng, C. T.
1979
A discrete EOQ problem is solvable in $$O(\log n)$$ time. Zbl 1146.90317
Kovalev, Alexandr; Ng, C. T.
2008
The fundamental equation of information on open domain. Zbl 0618.94004
Maksa, Gy.; Ng, C. T.
1986
Uniqueness theorems for a general class of functional equations. Zbl 0197.12504
Ng, C. T.
1970
On Cauchy differences of all orders. Zbl 0744.39003
Ebanks, B. R.; Heuvers, K. J.; Ng, C. T.
1991
On a generalized fundamental equation of information. Zbl 0522.39009
Kannappan, P. L.; Ng, C. T.
1983
On generalized cocycle equations. Zbl 0801.39008
Ebanks, B. R.; Ng, C. T.
1993
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.
1974
On the measurable solutions of the functional equation $$\sum\limits_{i=1}^2 \sum\limits_{j=1}^3 F_{i,j} (p_i, q_j) = \sum\limits_{i=1}^2 G_i (p_i) + \sum\limits_{j=1} ^3 H_j (q_j)$$. Zbl 0296.39009
Ng, C. T.
1974
On-line integrated production and outbound distribution scheduling to minimize the maximum delivery completion time. Zbl 1280.68299
Ng, C. T.; Lu, Lingfa
2012
Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition. Zbl 1187.91067
Ng, C. T.; Luce, R. Duncan; Marley, A. A. J.
2009
Information functions on open domains. Zbl 0446.94003
Ng, C. T.
1980
An algebraic equation for linear operators. Zbl 1092.47017
Ng, Che Tat; Zhang, Weinian
2006
An extension theorem for a Matkowski-Sutô problem. Zbl 1031.39016
Daróczy, Zoltán; Hajdu, Gabriella; Ng, Che Tat
2003
A functional equation arising from ranked additive and separable utility. Zbl 0967.39007
Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt
2001
On functional equations and measures of information. II. Zbl 0428.94006
Kannappan, Pl.; Ng, C. T.
1980
Pricing problem in wireless telecommunication product and service bundling. Zbl 1205.90168
Yang, Bibo; Ng, C. T.
2010
A functional equation on groups with involutions. Zbl 1440.39013
Ng, Che Tat; Zhao, Hou Yu; Lin, Xia
2020
Information measures and cohomology. Zbl 0485.94012
Davidson, Kenneth R.; Ng, C. T.
1981
Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009
Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C.
1983
Uniqueness theorems for the representation $$\varphi(f(x)g(y)+h(y))$$. Zbl 0316.39010
Lundberg, Anders; Ng, Che Tat
1975
Universal parallel composition laws and their representations. Zbl 0366.94058
Ng, C. T.
1977
Kernels of higher order Cauchy differences on free groups. Zbl 1315.39013
Ng, Che Tat
2015
On a functional equation of Abel. Zbl 0830.39013
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1994
An application of a uniqueness theorem to a functional equation arising from measuring utility. Zbl 0915.39012
Ng, C. T.
1998
Ng, Che Tat
2016
On the functional equation $$f(x)+\sum\limits_{i=1}^n g_i(y_i)= h(T(x,y_1,y_2,\dots ,y_n))$$. Zbl 0227.39005
Ng, C. T.
1972
A functional equation and its application to information theory. Zbl 0284.39013
Kannappan, P.; Ng, C. T.
1974
Inverse systems and the translation equation on topological spaces. Zbl 0384.39005
Ng, C. T.
1978
Periodic and continuous solutions of a polynomial-like iterative equation. Zbl 1378.39010
Ng, Che Tat; Zhao, Hou Yu
2017
Entropy-related measures of the utility of gambling. Zbl 1173.91330
Luce, R. Duncan; Marley, Anthony J.; Ng, Che Tat
2009
Partial difference equations analogous to the Cauchy-Riemann equations and related functional equations on rings and fields. Zbl 0830.39015
Haruki, S.; Ng, C. T.
1994
On generalized rectangular and rhombic functional equations. Zbl 0857.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1995
Monotonic solutions of a functional equation arising from simultaneous utility representations. Zbl 1060.39023
Ng, Che Tat
2003
Fast approximation algorithms for uniform machine scheduling with processing set restrictions. Zbl 1403.90342
Leung, Joseph Y.-T.; Ng, C. T.
2017
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
1992
L’equation fonctionnelle triangulaire et la théorie de l’information sans probabilité. Zbl 0238.39007
Aczél, János; Forte, Bruno; Ng, Che That
1972
On a characterization of the entropies of degree $$\beta$$. Zbl 0272.94012
Forte, B.; Ng, C. T.
1973
On a functional equation connected with Rao’s quadratic entropy. Zbl 0798.39005
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1994
On a functional equation arising from comparison of utility representations. Zbl 1067.39038
Gilányi, Attila; Ng, Che Tat; Aczél, János
2005
Convergence of a series whose terms are iterates of quadratic maps. Zbl 1082.39017
Hou, Xiaorong; Ng, Che Tat; Zhang, Weinian
2005
Entropies with the branching property. Zbl 0298.94030
Forte, B.; Ng, C. T.
1974
On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011
Kannappan, Pl.; Ng, C. T.
1974
Derivation of a class of entropies including those of degree $$\beta$$. Zbl 0314.94018
Forte, B.; Ng, C. T.
1975
How small are shifts required in optimal preemptive schedules? Zbl 1312.65235
Coffman, E. G. jun.; Ng, C. T.; Timkovsky, V. G.
2015
A minimal set of cancellation violating sequences for finite two-dimensional non-additive measurement. Zbl 1399.91030
Li, L.; Ng, C. T.
2016
Functions on semigroups with vanishing finite Cauchy differences. Zbl 1350.39013
Li, Lin; Ng, Che Tat
2016
Multiplicative quadratic forms on the quaternions and related functional equations. Zbl 1184.39010
2009
A functional equation on groups with involutions. Zbl 1440.39013
Ng, Che Tat; Zhao, Hou Yu; Lin, Xia
2020
Periodic and continuous solutions of a polynomial-like iterative equation. Zbl 1378.39010
Ng, Che Tat; Zhao, Hou Yu
2017
Fast approximation algorithms for uniform machine scheduling with processing set restrictions. Zbl 1403.90342
Leung, Joseph Y.-T.; Ng, C. T.
2017
Ng, Che Tat
2016
A minimal set of cancellation violating sequences for finite two-dimensional non-additive measurement. Zbl 1399.91030
Li, L.; Ng, C. T.
2016
Functions on semigroups with vanishing finite Cauchy differences. Zbl 1350.39013
Li, Lin; Ng, Che Tat
2016
Kernels of higher order Cauchy differences on free groups. Zbl 1315.39013
Ng, Che Tat
2015
How small are shifts required in optimal preemptive schedules? Zbl 1312.65235
Coffman, E. G. jun.; Ng, C. T.; Timkovsky, V. G.
2015
Kernel of the second order Cauchy difference on groups. Zbl 1286.39012
Ng, Che Tat; Zhao, Hou Yu
2013
On-line integrated production and outbound distribution scheduling to minimize the maximum delivery completion time. Zbl 1280.68299
Ng, C. T.; Lu, Lingfa
2012
Homogeneous tri-additive forms and derivations. Zbl 1230.39011
Ebanks, Bruce; Ng, C. T.
2011
Pricing problem in wireless telecommunication product and service bundling. Zbl 1205.90168
Yang, Bibo; Ng, C. T.
2010
Utility of gambling when events are valued: An application of inset entropy. Zbl 1168.91336
Ng, C. T.; Luce, R. Duncan; Marley, A. A. J.
2009
Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition. Zbl 1187.91067
Ng, C. T.; Luce, R. Duncan; Marley, A. A. J.
2009
Entropy-related measures of the utility of gambling. Zbl 1173.91330
Luce, R. Duncan; Marley, Anthony J.; Ng, Che Tat
2009
Multiplicative quadratic forms on the quaternions and related functional equations. Zbl 1184.39010
2009
Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010
Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János
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
2008
A discrete EOQ problem is solvable in $$O(\log n)$$ time. Zbl 1146.90317
Kovalev, Alexandr; Ng, C. T.
2008
An algebraic equation for linear operators. Zbl 1092.47017
Ng, Che Tat; Zhang, Weinian
2006
A Pexider-Jensen functional equation on groups. Zbl 1084.39020
Ng, Che Tat
2005
On a functional equation arising from comparison of utility representations. Zbl 1067.39038
Gilányi, Attila; Ng, Che Tat; Aczél, János
2005
Convergence of a series whose terms are iterates of quadratic maps. Zbl 1082.39017
Hou, Xiaorong; Ng, Che Tat; Zhang, Weinian
2005
An extension theorem for a Matkowski-Sutô problem. Zbl 1031.39016
Daróczy, Zoltán; Hajdu, Gabriella; Ng, Che Tat
2003
Monotonic solutions of a functional equation arising from simultaneous utility representations. Zbl 1060.39023
Ng, Che Tat
2003
Functional characterizations of basic properties of utility representations. Zbl 1032.39013
Ng, Che Tat; Luce, R. Duncan; Aczél, János
2002
Jensen’s functional equation on groups. III. Zbl 1004.39018
Ng, Che Tat
2001
A functional equation arising from ranked additive and separable utility. Zbl 0967.39007
Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt
2001
Quadratic invariant curves for a planar mapping. Zbl 0953.39010
Ng, C. T.; Zhang, Weinian
2000
Jensen’s functional equation on groups. II. Zbl 0938.39024
Ng, Che Tat
1999
An application of a uniqueness theorem to a functional equation arising from measuring utility. Zbl 0915.39012
Ng, C. T.
1998
Invariant curves for planar mappings. Zbl 0891.34070
Ng, C. T.; Zhang, Weinian
1997
On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1995
On generalized rectangular and rhombic functional equations. Zbl 0857.39014
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1995
On a functional equation of Abel. Zbl 0830.39013
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B.
1994
Partial difference equations analogous to the Cauchy-Riemann equations and related functional equations on rings and fields. Zbl 0830.39015
Haruki, S.; Ng, C. T.
1994
On a functional equation connected with Rao’s quadratic entropy. Zbl 0798.39005
Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.
1994
On approximately convex functions. Zbl 0823.26006
Ng, C. T.; Nikodem, K.
1993
On generalized cocycle equations. Zbl 0801.39008
Ebanks, B. R.; Ng, C. T.
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
1992
On Cauchy differences of all orders. Zbl 0744.39003
Ebanks, B. R.; Heuvers, K. J.; Ng, C. T.
1991
Jensen’s functional equation on groups. Zbl 0688.39007
Ng, C. T.
1990
Measures of distance between probability distributions. Zbl 0669.60025
Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K.
1989
Symmetric second differences in product form on groups. Zbl 0731.39010
Aczél, János; Chung, J. K.; Ng, C. T.
1989
A systems approach to recursive economic forecasting and seasonal adjustment. Zbl 0681.90030
Young, P.; Ng, C.; Armitage, P.
1989
On midconvex functions with midconcave bounds. Zbl 0659.39004
Ng, C. T.
1988
Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
1988
On two trigonometric functional equations. Zbl 0659.39001
Chung, J. K.; Kannappan, PL.; Ng, C. T.
1988
Functions generating Schur-convex sums. Zbl 0634.39014
Ng, C. T.
1987
The equation $$F(x)+M(x)G(1/x)=0$$ and homogeneous biadditive forms. Zbl 0622.39006
Ng, C. T.
1987
Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006
Ebanks, B. R.; Kannappan, PL.; Ng, C. T.
1987
The fundamental equation of information on open domain. Zbl 0618.94004
Maksa, Gy.; Ng, C. T.
1986
A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002
Chung, J. K.; Kannappan, Pl.; Ng, C. T.
1985
On functional equations and measures of information. I. Zbl 0624.39004
Kannappan, PL.; Ng, C. T.
1985
Aggregation theorems for allocation problems. Zbl 0538.05006
Aczél, János; Ng, C. T.; Wagner, C.
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.
1983
On a generalized fundamental equation of information. Zbl 0522.39009
Kannappan, P. L.; Ng, C. T.
1983
Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009
Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C.
1983
Information measures and cohomology. Zbl 0485.94012
Davidson, Kenneth R.; Ng, C. T.
1981
Information functions on open domains. Zbl 0446.94003
Ng, C. T.
1980
On functional equations and measures of information. II. Zbl 0428.94006
Kannappan, Pl.; Ng, C. T.
1980
Measures of information with the branching property over a graph and their representations. Zbl 0423.94006
Ng, C. T.
1979
Inverse systems and the translation equation on topological spaces. Zbl 0384.39005
Ng, C. T.
1978
Universal parallel composition laws and their representations. Zbl 0366.94058
Ng, C. T.
1977
Uniqueness theorems for the representation $$\varphi(f(x)g(y)+h(y))$$. Zbl 0316.39010
Lundberg, Anders; Ng, Che Tat
1975
Derivation of a class of entropies including those of degree $$\beta$$. Zbl 0314.94018
Forte, B.; Ng, C. T.
1975
Representation for measures of information with the branching property. Zbl 0279.94018
Ng, C. T.
1974
Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011
Aczél, János; Forte, B.; Ng, C. T.
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.
1974
On the measurable solutions of the functional equation $$\sum\limits_{i=1}^2 \sum\limits_{j=1}^3 F_{i,j} (p_i, q_j) = \sum\limits_{i=1}^2 G_i (p_i) + \sum\limits_{j=1} ^3 H_j (q_j)$$. Zbl 0296.39009
Ng, C. T.
1974
A functional equation and its application to information theory. Zbl 0284.39013
Kannappan, P.; Ng, C. T.
1974
Entropies with the branching property. Zbl 0298.94030
Forte, B.; Ng, C. T.
1974
On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011
Kannappan, Pl.; Ng, C. T.
1974
Measurable solutions of functional equations related to information theory. Zbl 0262.94019
Kannappan, Pl.; Ng, C. T.
1973
Local boundedness and continuity for a functional equation on topological spaces. Zbl 0272.39009
Ng, C. T.
1973
On a characterization of the entropies of degree $$\beta$$. Zbl 0272.94012
Forte, B.; Ng, C. T.
1973
On the functional equation $$f(x)+\sum\limits_{i=1}^n g_i(y_i)= h(T(x,y_1,y_2,\dots ,y_n))$$. Zbl 0227.39005
Ng, C. T.
1972
L’equation fonctionnelle triangulaire et la théorie de l’information sans probabilité. Zbl 0238.39007
Aczél, János; Forte, Bruno; Ng, Che That
1972
Uniqueness theorems for a general class of functional equations. Zbl 0197.12504
Ng, C. T.
1970
all top 5

#### Cited by 202 Authors

 24 Ng, Che Tat 19 Ebanks, Bruce R. 15 Sahoo, Prasanna K. 14 Zhang, Weinian 13 Aczél, János Dezső 13 Kannappan, Pl. 12 Luce, Robert Duncan 9 Kabbaj, Samir 8 Marley, Anthony A. J. 7 Kim, Gwang Hui 7 Stetkær, Henrik 7 Zeglami, Driss 7 Zhao, Houyu 5 Eshaghi Gordji, Madjid 5 Fadli, Brahim 5 Losonczi, László 5 Wagner, Carl G. 4 Elqorachi, Elhoucien 4 Lee, Young Whan 4 Riedel, Thomas 4 Xu, Bing 4 Yang, Dilian 3 Chung, Jaeyoung 3 Forte, Bruno 3 Klir, George J. 3 Liu, Jinghua 3 Sander, Wolfgang 2 Ajebbar, Omar 2 Bahyrycz, Anna 2 Baker, John A. 2 Belfakih, Keltouma 2 Burai, Pál 2 Charifi, Ahmed 2 Dietrich, Franz K. 2 Elfen, Heather Hunt 2 Garcia-Roig, Jaime-Luis 2 Genest, Christian 2 Gong, Xiaobing 2 Guo, Qiaoling 2 Jabłoński, Wojciech 2 Kannappan, Palaniappan 2 Khodaei, Hamid 2 Kim, Hark-Mahn 2 List, Christian 2 Lundberg, Anders 2 Maksa, Gyula 2 Rathie, Pushpa Narayan 2 Sabour, Kh. 2 Si, Jianguo 2 Száz, Árpád 2 Tang, Xiao 2 Tial, Mohamed 2 Ungar, Abraham Albert 2 Yu, Zhiheng 1 Abbas, Ali E. 1 Alizadeh, Badrkhan 1 Allahverdyan, Armen E. 1 Almahalebi, Muaad 1 Alsina, Claudi 1 Aydogan, Ilke 1 Bae, Jae-Hyeong 1 Baker, Rafi 1 Baumgartner, Bernhard 1 Bennequin, Daniel 1 Bleichrodt, Han 1 Bračič, Janko 1 Brito, Irene 1 Bronevich, Andrey G. 1 Brown, Nicholas 1 Brungs, Hans-Heinrich 1 Brzdęk, Janusz 1 Campadelli, Paola 1 Casiraghi, Elena 1 Cenci, Marisa 1 Chang, Jeongwook 1 Chen, Jingmin 1 Chen, Xingwu 1 Chiu, Kuo-Shou 1 Cho, Yeol Je 1 Choi, Hayoung 1 Christakos, George 1 Chudziak, Małgorzata 1 Chung, Jukang 1 Corradini, Massimiliano 1 Daróczy, Zoltán 1 Davis-Stober, Clintin P. 1 Davison, Thomas M. K. 1 de Lima, Wenia Valdevino Félix 1 Deng, Shengfu 1 Divari, Maria 1 do Amaral, Getúlio José Amorim 1 do Nascimento, Abraão David Costa 1 Doble, Christopher W. 1 Dragomir, Sever Silvestru 1 El-Fassi, Iz-Iddine 1 Elnaggar, Michel S. 1 Faiziev, Valerii A. 1 Fang, Weiwu 1 Faziev, Valeri A. 1 Fečkan, Michal ...and 102 more Authors
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#### Cited in 74 Serials

 60 Aequationes Mathematicae 14 Results in Mathematics 12 Journal of Mathematical Analysis and Applications 12 Journal of Mathematical Psychology 8 Abstract and Applied Analysis 5 Theory and Decision 5 Linear Algebra and its Applications 5 Journal of Difference Equations and Applications 5 Proyecciones 4 Applied Mathematics and Computation 4 Acta Mathematica Hungarica 4 Advances in Difference Equations 3 Journal of Mathematical Physics 3 Kybernetika 2 Periodica Mathematica Hungarica 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Statistical Planning and Inference 2 RAIRO, Informatique Théorique 2 Tohoku Mathematical Journal. Second Series 2 Bulletin of the Korean Mathematical Society 2 Social Choice and Welfare 2 International Journal of Approximate Reasoning 2 Journal of Risk and Uncertainty 2 Economic Theory 2 Journal of Applied Analysis 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Bulletin of the Australian Mathematical Society 1 The Canadian Journal of Statistics 1 Communications in Algebra 1 International Journal of General Systems 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Metrika 1 Psychometrika 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Demonstratio Mathematica 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Journal of Philosophical Logic 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Journal of Information & Optimization Sciences 1 Mathematical Social Sciences 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Probability Theory and Related Fields 1 Facta Universitatis. Series Mathematics and Informatics 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Economics Letters 1 Pattern Recognition 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Communications of the Korean Mathematical Society 1 Stochastic Environmental Research and Risk Assessment 1 Annales Mathematicae Silesianae 1 Journal of Applied Mathematics 1 Entropy 1 Central European Journal of Mathematics 1 Fixed Point Theory and Applications 1 Foundations of Physics 1 Scientia. Series A: Mathematical Sciences. New Series 1 Journal of Fixed Point Theory and Applications 1 Science China. Mathematics 1 Korean Journal of Mathematics
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#### Cited in 38 Fields

 160 Difference and functional equations (39-XX) 41 Information and communication theory, circuits (94-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Statistics (62-XX) 12 Operator theory (47-XX) 9 Functional analysis (46-XX) 8 Real functions (26-XX) 7 Group theory and generalizations (20-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Associative rings and algebras (16-XX) 5 Probability theory and stochastic processes (60-XX) 4 Commutative algebra (13-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Functions of a complex variable (30-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)