Edit Profile (opens in new tab) Ng, Che Tat Co-Author Distance Author ID: ng.che-tat Published as: Ng, C. T.; Ng, Che Tat; Ng, Che That; Che Tat Ng more...less Homepage: https://uwaterloo.ca/pure-mathematics/people-profiles/che-tat-ng External Links: MGP Documents Indexed: 100 Publications since 1970 Reviewing Activity: 3 Reviews Co-Authors: 30 Co-Authors with 74 Joint Publications 633 Co-Co-Authors all top 5 Co-Authors 26 single-authored 17 Aczél, János Dezső 16 Ebanks, Bruce R. 15 Kannappan, Palaniappan 9 Forte, Bruno 8 Luce, Robert Duncan 7 Marley, Anthony A. J. 6 Sahoo, Prasanna K. 5 Zhang, Weinian 3 Heuvers, Konrad J. 3 Zhao, Houyu 2 Li, Lin 2 Maksa, Gyula 1 Baker, John A. 1 Boros, Zoltán 1 Daróczy, Zoltán 1 Davidson, Kenneth R. 1 do Nascimento, Arnaldo Simal 1 Gilányi, Attila 1 Hajdu, Gabriella 1 Haruki, Shigeru 1 Heller, Jürgen 1 Hou, Xiaorong 1 Járai, Antal 1 Lin, Xia 1 Lo Schiavo, Mauro 1 Lundberg, Anders 1 Nikodem, Kazimierz 1 Páles, Zsolt 1 Wagner, Carl G. 1 Wong, Andrew K. C. all top 5 Serials 21 Aequationes Mathematicae 6 Journal of Mathematical Psychology 6 Proceedings of the American Mathematical Society 5 Publicationes Mathematicae Debrecen 5 Linear Algebra and its Applications 4 Results in Mathematics 3 Journal of Mathematical Analysis and Applications 3 Information and Control 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Annales Polonici Mathematici 2 Semigroup Forum 2 Utilitas Mathematica 2 Economic Theory 2 Journal of Difference Equations and Applications 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Advances in Applied Probability 1 American Mathematical Monthly 1 IEEE Transactions on Information Theory 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 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 all top 5 Fields 72 Difference and functional equations (39-XX) 34 Information and communication theory, circuits (94-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 General topology (54-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-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 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 521 times in 352 Documents Cited by ▼ Year ▼ Symmetric second differences in product form on groups. Zbl 0731.39010 Aczél, János; Chung, J. K.; Ng, C. T. 35 1989 Invariant curves for planar mappings. Zbl 0891.34070 Ng, C. T.; Zhang, Weinian 25 1997 Functions generating Schur-convex sums. Zbl 0634.39014 Ng, C. T. 24 1987 A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002 Chung, J. K.; Kannappan, Pl.; Ng, C. T. 23 1985 Measures of distance between probability distributions. Zbl 0669.60025 Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K. 20 1989 On approximately convex functions. Zbl 0823.26006 Ng, C. T.; Nikodem, K. 19 1993 Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011 Aczél, János; Forte, B.; Ng, C. T. 19 1974 Jensen’s functional equation on groups. Zbl 0688.39007 Ng, C. T. 19 1990 Measurable solutions of functional equations related to information theory. Zbl 0262.94019 Kannappan, Pl.; Ng, C. T. 17 1973 Representation for measures of information with the branching property. Zbl 0279.94018 Ng, C. T. 17 1974 On a quadratic-trigonometric functional equation and some applications. Zbl 0830.39014 Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K. 15 1995 On midconvex functions with midconcave bounds. Zbl 0659.39004 Ng, C. T. 13 1988 Jensen’s functional equation on groups. II. Zbl 0938.39024 Ng, Che Tat 11 1999 Quadratic invariant curves for a planar mapping. Zbl 0953.39010 Ng, C. T.; Zhang, Weinian 11 2000 Jensen’s functional equation on groups. III. Zbl 1004.39018 Ng, Che Tat 11 2001 Aggregation theorems for allocation problems. Zbl 0538.05006 Aczél, János; Ng, C. T.; Wagner, C. 11 1984 Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 11 2008 Kernel of the second order Cauchy difference on groups. Zbl 1286.39012 Ng, Che Tat; Zhao, Hou Yu 10 2013 Utility of gambling. I: Entropy modified linear weighted utility. Zbl 1136.91008 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 9 2008 A functional equation on groups with involutions. Zbl 1440.39013 Ng, Che Tat; Zhao, Hou Yu; Lin, Xia 8 2020 Local boundedness and continuity for a functional equation on topological spaces. Zbl 0272.39009 Ng, C. T. 7 1973 Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006 Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 7 1987 The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms. Zbl 0622.39006 Ng, C. T. 7 1987 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. 7 2009 Periodic and continuous solutions of a polynomial-like iterative equation. Zbl 1378.39010 Ng, Che Tat; Zhao, Hou Yu 6 2017 On generalized cocycle equations. Zbl 0801.39008 Ebanks, B. R.; Ng, C. T. 6 1993 Homogeneous tri-additive forms and derivations. Zbl 1230.39011 Ebanks, Bruce; Ng, C. T. 6 2011 Levi-Civita functional equations and the status of spectral synthesis on semigroups. Zbl 1482.43005 Ebanks, Bruce; Ng, Che Tat 6 2021 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 Kernels of higher order Cauchy differences on free groups. Zbl 1315.39013 Ng, Che Tat 5 2015 A Pexider-Jensen functional equation on groups. Zbl 1084.39020 Ng, Che Tat 5 2005 The fundamental equation of information on open domain. Zbl 0618.94004 Maksa, Gy.; Ng, C. T. 5 1986 On functional equations and measures of information. I. Zbl 0624.39004 Kannappan, PL.; Ng, C. T. 5 1985 Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002 Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 5 1988 On Cauchy differences of all orders. Zbl 0744.39003 Ebanks, B. R.; Heuvers, K. J.; Ng, C. T. 4 1991 Functional characterizations of basic properties of utility representations. Zbl 1032.39013 Ng, Che Tat; Luce, R. Duncan; Aczél, János 4 2002 Uniqueness theorems for a general class of functional equations. Zbl 0197.12504 Ng, C. T. 4 1970 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 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. 4 1974 On two trigonometric functional equations. Zbl 0659.39001 Chung, J. K.; Kannappan, PL.; Ng, C. T. 4 1988 Measures of information with the branching property over a graph and their representations. Zbl 0423.94006 Ng, C. T. 4 1979 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. 4 2009 On the utility of gambling: Extending the approach of Meginniss (1976). Zbl 1175.91063 Che Tat Ng; Luce, R. Duncan; Marley, Anthony A. J. 4 2008 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009 Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 4 1983 On a generalized fundamental equation of information. Zbl 0522.39009 Kannappan, P. L.; Ng, C. T. 4 1983 Levi-Civita functional equations and the status of spectral synthesis on semigroups. II. Zbl 1509.43006 Ebanks, Bruce; Ng, Che Tat 4 2022 On a functional equation of Abel. Zbl 0830.39013 Chung, J. K.; Ebanks, B. R.; Ng, C. T.; Sahoo, P. K.; Zeng, W. B. 3 1994 On Fishburn’s questions about finite two-dimensional additive measurement. Zbl 1396.91668 Ng, Che Tat 3 2016 An extension theorem for a Matkowski-Sutô problem. Zbl 1031.39016 Daróczy, Zoltán; Hajdu, Gabriella; Ng, Che Tat 3 2003 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. 3 1972 Uniqueness theorems for the representation \(\varphi(f(x)g(y)+h(y))\). Zbl 0316.39010 Lundberg, Anders; Ng, Che Tat 3 1975 An algebraic equation for linear operators. Zbl 1092.47017 Ng, Che Tat; Zhang, Weinian 3 2006 Functions on semigroups with vanishing finite Cauchy differences. Zbl 1350.39013 Li, Lin; Ng, Che Tat 3 2016 Entropy-related measures of the utility of gambling. Zbl 1173.91330 Luce, R. Duncan; Marley, Anthony J.; Ng, Che Tat 3 2009 On functional equations and measures of information. II. Zbl 0428.94006 Kannappan, Pl.; Ng, C. T. 3 1980 Information functions on open domains. Zbl 0446.94003 Ng, C. T. 3 1980 A functional equation arising from ranked additive and separable utility. Zbl 0967.39007 Aczél, János; Maksa, Gyula; Ng, Che Tat; Páles, Zsolt 3 2001 Universal parallel composition laws and their representations. Zbl 0366.94058 Ng, C. T. 3 1977 Information measures and cohomology. Zbl 0485.94012 Davidson, Kenneth R.; Ng, C. T. 3 1981 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. 2 1995 Functional equations in binocular space perception. Zbl 1057.91513 Aczél, János; Boros, Zoltán; Heller, Jürgen; Che Tat Ng 2 1999 A functional equation and its application to information theory. Zbl 0284.39013 Kannappan, P.; Ng, C. T. 2 1974 An application of a uniqueness theorem to a functional equation arising from measuring utility. Zbl 0915.39012 Ng, C. T. 2 1998 Inverse systems and the translation equation on topological spaces. Zbl 0384.39005 Ng, C. T. 2 1978 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 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. 1 1994 On a functional equation arising from comparison of utility representations. Zbl 1067.39038 Gilányi, Attila; Ng, Che Tat; Aczél, János 1 2005 Convergence of a series whose terms are iterates of quadratic maps. Zbl 1082.39017 Hou, Xiaorong; Ng, Che Tat; Zhang, Weinian 1 2005 A minimal set of cancellation violating sequences for finite two-dimensional non-additive measurement. Zbl 1399.91030 Li, L.; Ng, C. T. 1 2016 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. 1 1994 Monotonic solutions of a functional equation arising from simultaneous utility representations. Zbl 1060.39023 Ng, Che Tat 1 2003 L’equation fonctionnelle triangulaire et la théorie de l’information sans probabilité. Zbl 0238.39007 Aczél, János; Forte, Bruno; Ng, Che That 1 1972 On a characterization of the entropies of degree \(\beta\). Zbl 0272.94012 Forte, B.; Ng, C. T. 1 1973 Entropies with the branching property. Zbl 0298.94030 Forte, B.; Ng, C. T. 1 1974 On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011 Kannappan, Pl.; Ng, C. T. 1 1974 Derivation of a class of entropies including those of degree \(\beta\). Zbl 0314.94018 Forte, B.; Ng, C. T. 1 1975 Multiplicative quadratic forms on the quaternions and related functional equations. Zbl 1184.39010 Heuvers, Konrad; Ng, Che Tat 1 2009 Levi-Civita functional equations and the status of spectral synthesis on semigroups. II. Zbl 1509.43006 Ebanks, Bruce; Ng, Che Tat 4 2022 Levi-Civita functional equations and the status of spectral synthesis on semigroups. Zbl 1482.43005 Ebanks, Bruce; Ng, Che Tat 6 2021 A functional equation on groups with involutions. Zbl 1440.39013 Ng, Che Tat; Zhao, Hou Yu; Lin, Xia 8 2020 Periodic and continuous solutions of a polynomial-like iterative equation. Zbl 1378.39010 Ng, Che Tat; Zhao, Hou Yu 6 2017 On Fishburn’s questions about finite two-dimensional additive measurement. Zbl 1396.91668 Ng, Che Tat 3 2016 Functions on semigroups with vanishing finite Cauchy differences. Zbl 1350.39013 Li, Lin; Ng, Che Tat 3 2016 A minimal set of cancellation violating sequences for finite two-dimensional non-additive measurement. Zbl 1399.91030 Li, L.; Ng, C. T. 1 2016 Kernels of higher order Cauchy differences on free groups. Zbl 1315.39013 Ng, Che Tat 5 2015 Kernel of the second order Cauchy difference on groups. Zbl 1286.39012 Ng, Che Tat; Zhao, Hou Yu 10 2013 Homogeneous tri-additive forms and derivations. Zbl 1230.39011 Ebanks, Bruce; Ng, C. T. 6 2011 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. 7 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. 4 2009 Entropy-related measures of the utility of gambling. Zbl 1173.91330 Luce, R. Duncan; Marley, Anthony J.; Ng, Che Tat 3 2009 Multiplicative quadratic forms on the quaternions and related functional equations. Zbl 1184.39010 Heuvers, Konrad; Ng, Che Tat 1 2009 Utility of gambling. II: Risk, paradoxes, and data. Zbl 1137.91010 Luce, R. Duncan; Ng, C. T.; Marley, A. A. J.; Aczél, János 11 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 9 2008 On the utility of gambling: Extending the approach of Meginniss (1976). Zbl 1175.91063 Che Tat Ng; Luce, R. Duncan; Marley, Anthony A. J. 4 2008 An algebraic equation for linear operators. Zbl 1092.47017 Ng, Che Tat; Zhang, Weinian 3 2006 A Pexider-Jensen functional equation on groups. Zbl 1084.39020 Ng, Che Tat 5 2005 On a functional equation arising from comparison of utility representations. Zbl 1067.39038 Gilányi, Attila; Ng, Che Tat; Aczél, János 1 2005 Convergence of a series whose terms are iterates of quadratic maps. Zbl 1082.39017 Hou, Xiaorong; Ng, Che Tat; Zhang, Weinian 1 2005 An extension theorem for a Matkowski-Sutô problem. Zbl 1031.39016 Daróczy, Zoltán; Hajdu, Gabriella; Ng, Che Tat 3 2003 Monotonic solutions of a functional equation arising from simultaneous utility representations. Zbl 1060.39023 Ng, Che Tat 1 2003 Functional characterizations of basic properties of utility representations. Zbl 1032.39013 Ng, Che Tat; Luce, R. Duncan; Aczél, János 4 2002 Jensen’s functional equation on groups. III. Zbl 1004.39018 Ng, Che Tat 11 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 Quadratic invariant curves for a planar mapping. Zbl 0953.39010 Ng, C. T.; Zhang, Weinian 11 2000 Jensen’s functional equation on groups. II. Zbl 0938.39024 Ng, Che Tat 11 1999 Functional equations in binocular space perception. Zbl 1057.91513 Aczél, János; Boros, Zoltán; Heller, Jürgen; Che Tat Ng 2 1999 An application of a uniqueness theorem to a functional equation arising from measuring utility. Zbl 0915.39012 Ng, C. T. 2 1998 Invariant curves for planar mappings. Zbl 0891.34070 Ng, C. T.; Zhang, Weinian 25 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. 15 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. 2 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. 3 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. 1 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. 1 1994 On approximately convex functions. Zbl 0823.26006 Ng, C. T.; Nikodem, K. 19 1993 On generalized cocycle equations. Zbl 0801.39008 Ebanks, B. R.; Ng, C. T. 6 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 On Cauchy differences of all orders. Zbl 0744.39003 Ebanks, B. R.; Heuvers, K. J.; Ng, C. T. 4 1991 Jensen’s functional equation on groups. Zbl 0688.39007 Ng, C. T. 19 1990 Symmetric second differences in product form on groups. Zbl 0731.39010 Aczél, János; Chung, J. K.; Ng, C. T. 35 1989 Measures of distance between probability distributions. Zbl 0669.60025 Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K. 20 1989 On midconvex functions with midconcave bounds. Zbl 0659.39004 Ng, C. T. 13 1988 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 Functions generating Schur-convex sums. Zbl 0634.39014 Ng, C. T. 24 1987 Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006 Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 7 1987 The equation \(F(x)+M(x)G(1/x)=0\) and homogeneous biadditive forms. Zbl 0622.39006 Ng, C. T. 7 1987 The fundamental equation of information on open domain. Zbl 0618.94004 Maksa, Gy.; Ng, C. T. 5 1986 A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002 Chung, J. K.; Kannappan, Pl.; Ng, C. T. 23 1985 On functional equations and measures of information. I. Zbl 0624.39004 Kannappan, PL.; Ng, C. T. 5 1985 Aggregation theorems for allocation problems. Zbl 0538.05006 Aczél, János; Ng, C. T.; Wagner, C. 11 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 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009 Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 4 1983 On a generalized fundamental equation of information. Zbl 0522.39009 Kannappan, P. L.; Ng, C. T. 4 1983 Information measures and cohomology. Zbl 0485.94012 Davidson, Kenneth R.; Ng, C. T. 3 1981 On functional equations and measures of information. II. Zbl 0428.94006 Kannappan, Pl.; Ng, C. T. 3 1980 Information functions on open domains. Zbl 0446.94003 Ng, C. T. 3 1980 Measures of information with the branching property over a graph and their representations. Zbl 0423.94006 Ng, C. T. 4 1979 Inverse systems and the translation equation on topological spaces. Zbl 0384.39005 Ng, C. T. 2 1978 Universal parallel composition laws and their representations. Zbl 0366.94058 Ng, C. T. 3 1977 Uniqueness theorems for the representation \(\varphi(f(x)g(y)+h(y))\). Zbl 0316.39010 Lundberg, Anders; Ng, Che Tat 3 1975 Derivation of a class of entropies including those of degree \(\beta\). Zbl 0314.94018 Forte, B.; Ng, C. T. 1 1975 Why the Shannon and Hartley entropies are ’natural’. Zbl 0277.94011 Aczél, János; Forte, B.; Ng, C. T. 19 1974 Representation for measures of information with the branching property. Zbl 0279.94018 Ng, C. T. 17 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 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. 4 1974 A functional equation and its application to information theory. Zbl 0284.39013 Kannappan, P.; Ng, C. T. 2 1974 Entropies with the branching property. Zbl 0298.94030 Forte, B.; Ng, C. T. 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. 17 1973 Local boundedness and continuity for a functional equation on topological spaces. Zbl 0272.39009 Ng, C. T. 7 1973 On a characterization of the entropies of degree \(\beta\). Zbl 0272.94012 Forte, B.; Ng, C. T. 1 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. 3 1972 L’equation fonctionnelle triangulaire et la théorie de l’information sans probabilité. Zbl 0238.39007 Aczél, János; Forte, Bruno; Ng, Che That 1 1972 Uniqueness theorems for a general class of functional equations. Zbl 0197.12504 Ng, C. T. 4 1970 all cited Publications top 5 cited Publications all top 5 Cited by 306 Authors 37 Ebanks, Bruce R. 33 Ng, Che Tat 18 Kannappan, Palaniappan 17 Sahoo, Prasanna K. 14 Aczél, János Dezső 14 Zhang, Weinian 12 Luce, Robert Duncan 12 Páles, Zsolt 12 Zhao, Houyu 10 Stetkær, Henrik 8 Kabbaj, Samir 8 Marley, Anthony A. J. 7 Elqorachi, Elhoucien 7 Kim, Gwang Hui 7 Nikodem, Kazimierz 7 Olbryś, Andrzej 7 Zeglami, Driss 5 Eshaghi Gordji, Madjid 5 Fadli, Brahim 5 Losonczi, László 5 Maksa, Gyula 5 Riedel, Thomas 5 Wagner, Carl G. 4 Lee, Young Whan 4 Makó, Judit 4 Xu, Bing 4 Yang, Dilian 3 Bahyrycz, Anna 3 Chung, Jaeyoung 3 Forte, Bruno 3 Jiménez-Rodríguez, Pablo 3 Klir, George J. 3 Li, Lin 3 Liu, Jinghua 3 Łukasik, Radosław 3 Muñoz-Fernández, Gustavo Adolfo 3 Niezgoda, Marek 3 Sablik, Maciej 3 Sander, Wolfgang 3 Seoane-Sepúlveda, Juan Benigno 3 Tabor, Jacek 2 Ajebbar, Omar 2 Baker, John A. 2 Belfakih, Keltouma 2 Brito, Irene 2 Brzdęk, Janusz 2 Burai, Pál 2 Chahbi, Abdellatif 2 Charifi, Ahmed 2 Dietrich, Franz K. 2 El-Fassi, Iz-Iddine 2 Elfen, Heather Hunt 2 Faĭziev, Valeriĭ A. 2 Fenyö, Istvan S. 2 Garcia-Roig, Jaime-Luis 2 Genest, Christian 2 Gilányi, Attila 2 Gong, Xiaobing 2 Goswami, Angshuman R. 2 Gselmann, Eszter 2 Guessab, Allal 2 Guo, Qiaoling 2 Heuvers, Konrad J. 2 Jabłoński, Wojciech 2 Khodaei, Hamid 2 Kim, Hark-Mahn 2 Kotrys, Dawid 2 Li, Man Rong 2 Lin, Xia 2 List, Christian 2 Lundberg, Anders 2 Luo, Ye 2 Martínez-Gómez, Maria E. 2 Matkowski, Janusz 2 Nath, Prem 2 Paganoni, Luigi 2 Rajba, Teresa 2 Rathie, Pushpa Narayan 2 Si, Jianguo 2 Száz, Árpád 2 Tabor, Józef 2 Tang, Xiao 2 Tial, Mohamed 2 Ungar, Abraham Albert 2 Vigneaux, Juan Pablo 2 Wąsowicz, Szymon 2 Yu, Zhiheng 2 Zhang, Pingping 2 Żołdak, Marek 1 Abbas, Ali E. 1 Adamek, Mirosław 1 Akkaoui, Ahmed 1 Alekseev, Aleksandr G. 1 Alizadeh, Badrkhan 1 Allahverdyan, Armen E. 1 Almahalebi, Muaad 1 Alsina, Claudi 1 Aserrar, Youssef 1 Aydogan, Ilke 1 Bae, Jae-Hyeong ...and 206 more Authors all top 5 Cited in 97 Serials 102 Aequationes Mathematicae 22 Journal of Mathematical Analysis and Applications 22 Results in Mathematics 14 Journal of Mathematical Psychology 10 Acta Mathematica Hungarica 8 Abstract and Applied Analysis 7 Kybernetika 7 Linear Algebra and its Applications 6 Applied Mathematics and Computation 6 Proceedings of the American Mathematical Society 6 Theory and Decision 6 Journal of Difference Equations and Applications 5 Journal of Convex Analysis 5 Annales Mathematicae Silesianae 4 Periodica Mathematica Hungarica 4 Advances in Difference Equations 4 Proyecciones 3 Journal of Mathematical Physics 3 Fuzzy Sets and Systems 3 Semigroup Forum 3 International Journal of Approximate Reasoning 3 Journal of Risk and Uncertainty 3 Acta Mathematica Sinica. English Series 2 Metrika 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Economic Theory 2 Journal of Statistical Planning and Inference 2 RAIRO, Informatique Théorique 2 Tôhoku Mathematical Journal. Second Series 2 Mathematical Social Sciences 2 Bulletin of the Korean Mathematical Society 2 Social Choice and Welfare 2 Applied Mathematics Letters 2 Economic Theory 2 Journal of Applied Analysis 2 Journal of Inequalities and Applications 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 Psychometrika 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Demonstratio Mathematica 1 Geometriae Dedicata 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Philosophical Logic 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Journal of Information & Optimization Sciences 1 SIAM Journal on Algebraic and Discrete Methods 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Probability Theory and Related Fields 1 Facta Universitatis. Series Mathematics and Informatics 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 Tatra Mountains Mathematical Publications 1 Turkish Journal of Mathematics 1 Soft Computing 1 Journal of Shanghai University 1 Discrete Dynamics in Nature and Society 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Analysis (München) 1 Communications of the Korean Mathematical Society 1 Stochastic Environmental Research and Risk Assessment 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 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 Journal of Mathematical Inequalities 1 AStA. Advances in Statistical Analysis 1 Revista Brasileira de História da Matemática 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Journal of Classical Analysis 1 Journal of Function Spaces 1 Korean Journal of Mathematics all top 5 Cited in 42 Fields 244 Difference and functional equations (39-XX) 55 Real functions (26-XX) 54 Information and communication theory, circuits (94-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Functional analysis (46-XX) 15 Statistics (62-XX) 14 Operator theory (47-XX) 9 Group theory and generalizations (20-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 6 Convex and discrete geometry (52-XX) 6 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 General topology (54-XX) 5 Computer science (68-XX) 4 Combinatorics (05-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Quantum theory (81-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year