Edit Profile (opens in new tab) Kannappan, Palaniappan Co-Author Distance Author ID: kannappan.palaniappan Published as: Kannappan, Pl.; Kannappan, PL.; Kannappan, P. L.; Kannappan, Palaniappan; Kannappan, P. more...less External Links: MGP · Wikidata · dblp Documents Indexed: 168 Publications since 1965, including 3 Books Reviewing Activity: 115 Reviews Co-Authors: 30 Co-Authors with 95 Joint Publications 897 Co-Co-Authors all top 5 Co-Authors 72 single-authored 36 Sahoo, Prasanna K. 15 Ng, Che Tat 15 Rathie, Pushpa Narayan 6 Aczél, János Dezső 5 Ebanks, Bruce R. 4 Sander, Wolfgang 3 Baker, John A. 3 Kamiński, Andrzej 2 Baron, Karol 2 Kurepa, Svetozar 2 Riedel, Thomas 2 Sathyabhama, V. 1 Belousov, Valentin Danilovici 1 Chung, Jukang 1 Chung, Jukang K. 1 Cross, George E. 1 Crstici, Borislav D. 1 Đoković, Dragomir Ž. 1 Dragomir, Sever Silvestru 1 Heuvers, Konrad J. 1 Horinouchi, Sôichi 1 Jacobson, Michael Scott 1 Kim, Gwang Hui 1 Kuczma, Marek 1 Laird, Philip G. 1 Mikusiński, Jan Stefan 1 Nandakumar, Nagaiah Rangaswamy 1 Radó, Ferenc 1 Taylor, Mark Adrian 1 Zhang, Weinian all top 5 Serials 20 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 Debrecen 2 Studia Scientiarum Mathematicarum Hungarica 2 Tôhoku 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 Bulletin of the Polish Academy of Sciences, Mathematics 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 Annales Academiae Paedagogicae Cracoviensis. Studia Mathematica 1 Banach Journal of Mathematical Analysis 1 Preprint. “Babeș-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 1 Mathematica 1 Springer Monographs in Mathematics 1 Matscience Report all top 5 Fields 135 Difference and functional equations (39-XX) 88 Information and communication theory, circuits (94-XX) 13 Group theory and generalizations (20-XX) 11 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,155 times in 751 Documents Cited by ▼ Year ▼ Functional equations and inequalities with applications. Zbl 1178.39032 Kannappan, Pl. 244 2009 Quadratic functional equation and inner product spaces. Zbl 0836.39006 Kannappan, Pl. 104 1995 Introduction to functional equations. Zbl 1223.39012 Sahoo, Prasanna K.; Kannappan, Palaniappan 83 2011 The functional equation \(f(xy)+ f(xy^{-1}) = 2f(x)f(y)\) for groups. Zbl 0169.48102 Kannappan, Pl. 66 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. 50 1991 A directed-divergence function of type \(\beta\). Zbl 0231.94015 Rathie, P. N.; Kannappan, Pl. 41 1972 On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301 Kannappan, Pl.; Sahoo, P. K. 27 2003 A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002 Chung, J. K.; Kannappan, Pl.; Ng, C. T. 24 1985 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. 23 1971 Measures of distance between probability distributions. Zbl 0669.60025 Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K. 21 1989 A functional equation for the cosine. Zbl 0165.50003 Kannappan, P. 19 1968 Measurable solutions of functional equations related to information theory. Zbl 0262.94019 Kannappan, Pl.; Ng, C. T. 18 1973 On the stability of the generalized cosine functional equations. Zbl 1139.39316 Kannappan, Palaniappan; Kim, Gwang Hui 18 2001 Some relations between additive functions. I. Zbl 0194.17401 Kannappan, P.; Kurepa, S. 16 1970 A mixed theory of information. III: Inset entropies of degree \(\beta\). Zbl 0393.94011 Aczél, János; Kannappan, Pl. 16 1978 On the Cauchy difference. Zbl 0796.39011 Baron, K.; Kannappan, PL. 13 1993 An inaccuracy function of type \(\beta\). Zbl 0338.94016 Rathie, P. N.; Kannappan, Pl. 13 1973 On some functional equations from additive and non-additive measures. I. Zbl 0468.39002 Kannappan, PL. 13 1980 On Shannon’s entropy, directed divergence and inaccuracy. Zbl 0241.94020 Kannappan, Pl. 13 1972 On a generalization of some measures in information theory. Zbl 0287.39006 Kannappan, Pl. 12 1974 On the Pexider difference. Zbl 0715.39012 Baron, K.; Kannappan, PL. 11 1990 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 Some relations between additive functions. II. Zbl 0214.37701 Kannappan, Pl.; Kurepa, S. 8 1971 On quadratic functional equation. Zbl 0957.39006 Kannappan, Pl. 7 2000 On a generalization of sum form functional equation. III. Zbl 0468.39005 Kannappan, PL. 7 1980 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. 7 1987 An application of a functional equation to information theory. Zbl 0235.39001 Kannappan, P.; Rathie, P. N. 6 1972 On generalized information function. Zbl 0333.94008 Kannappan, PL.; Rathie, P. N. 6 1975 On generalizations of the Pompeiu functional equation. Zbl 0897.39005 Kannappan, Pl.; Sahoo, P. K. 6 1998 On some functional equations from additive and non-additive measures. V. Zbl 0509.39013 Kannappan, Pl. 6 1982 On a cosine functional equation for operators on the algebra of analytic functions in a domain. Zbl 0990.39022 Kannappan, Palaniappan; Nandakumar, Nagaiah Rangaswamy 6 2001 On a new characterization of directed-divergence in information theory. Zbl 0298.94032 Rathie, P. N.; Kannappan, Pl. 5 1973 On inner product spaces. I. Zbl 0949.39011 Kannappan, Pl. 5 1997 A characterization of low degree polynomials. Zbl 0830.39011 Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S. 5 1995 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 a functional equation related to the Cauchy equation. Zbl 0281.39006 Kannappan, Pl.; Kuczma, M. 5 1974 An application of a differential equation in information theory. Zbl 0456.94008 Kannappan, Pl. 5 1979 On the solution of a functional equation connected with inaccuracy. Zbl 0432.39004 Kannappan, PL.; Rathie, P. N. 5 1975 A property of quadratic polynomials in two variables. Zbl 1038.34071 Kannappan, P. L.; Sahoo, P. K. 4 2001 Finding sum of powers on arithmetic progressions with application of Cauchy’s equation. Zbl 1053.11014 Kannappan, Pl.; Zhang, Weinian 4 2002 On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007 Kannappan, P. L.; Sahoo, P. K.; Chung, J. K. 4 1993 On two trigonometric functional equations. Zbl 0659.39001 Chung, J. K.; Kannappan, PL.; Ng, C. T. 4 1988 On some functional equations from additive and nonadditive measures. III. Zbl 0468.39003 Kannappan, PL. 4 1980 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009 Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 4 1983 On directed divergence and inaccuracy. Zbl 0248.94029 Kannappan, Pl. 4 1972 On Shannon’s entropy and a functional equation of Abel. Zbl 0364.39001 Kannappan, Pl. 4 1977 General two-place information functions. Zbl 0489.94005 Aczél, János; Kannappan, Pl. 4 1982 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 Cauchy equations and some of their applications. Zbl 0731.39009 Kannappan, PL. 4 1989 Rudin’s problem on groups and a generalization of mean value theorem. Zbl 1023.39017 Kannappan, Pl. 3 2003 Characterizations of sum form information measures on open domains. Zbl 0880.39019 Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang 3 1997 Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007 Kannappan, Pl.; Sahoo, P. K. 3 1997 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. 3 1986 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. Zbl 0568.39004 Kannappan, Pl.; Sahoo, P. K. 3 1985 On the functional equation \(f(x+y)+f(x-y) = 2f(x)f(y)\). Zbl 0136.12403 Kannappan, Pl. 3 1965 A functional identity characterizing polynomials. Zbl 0633.39005 Cross, G. E.; Kannappan, PL. 3 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. 3 1987 On some functional equations from additive and nonadditive measures. IV. Zbl 0468.39004 Kannappan, PL. 3 1981 A third logarithmic functional equation and Pexider generalizations. Zbl 1079.39019 Heuvers, Konrad J.; Kannappan, Palaniappan 3 2005 On various characterizations of generalized directed divergence. Zbl 0362.94029 Kannappan, Pl. 3 1975 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 weak inverse property loops. Zbl 0241.20062 Kannappan, Pl. 2 1972 A note on cosine functional equation for groups. Zbl 0234.39009 Kannappan, PL. 2 1971 On a generalized directed-divergence function. Zbl 0316.94022 Kannappan, Pl.; Rathie, P. N. 2 1974 On a functional equation associated with Simpson’s rule. Zbl 0879.39007 Kannappan, Pl.; Riedel, T.; Sahoo, P. K. 2 1997 Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015 Kannappan, P. L.; Sahoo, P. K. 2 1993 Characterization of polynomials and divided difference. Zbl 0852.39005 Kannappan, P. L.; Sahoo, P. K. 2 1995 Rotation invariant separable functions are Gaussian. Zbl 0760.39002 Kannappan, PL.; Sahoo, P. K. 2 1992 Application of Cauchy’s equation in combinatorics and genetics. Zbl 0976.92016 Kannappan, Pl. 2 2001 On a generalization of sum form functional equation. I. Zbl 0563.39004 Kannappan, PL. 2 1983 On sine functional equation. Zbl 0186.47801 Kannappan, Pl. 2 1969 Generalized Bol functional equation. Zbl 0196.04002 Belousov, V. D.; Kannappan, P. L. 2 1970 On a generalization of sum form functional equation. IV. Zbl 0509.39012 Kannappan, Pl. 2 1980 Characterizing topology on an Abelian semigroup by a functional equation. Zbl 0213.03102 Kannappan, Pl. 2 1969 A functional equation and its application to information theory. Zbl 0284.39013 Kannappan, P.; Ng, C. T. 2 1974 Sum of powers of integers and the additive Cauchy equation. Zbl 0988.39022 Kannappan, Pl. 2 2001 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 On a characterization of inaccuracy. Zbl 0442.94003 Rathie, P. N.; Kannappan, Pl. 2 1977 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 Distributional solutions in information theory. II. Zbl 0449.94008 Kaminski, A.; Kannappan, Pl. 2 1980 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 the system of functional equations \(f(x+y) = f(x) + f(y)\) and \(f(xy) = p(x)f(y) + q(y)f(x)\). Zbl 0224.39009 Horinouchi, Sôichi; Kannappan, PL. 1 1971 Remark on a paper of R. Dacić. Zbl 0224.39010 Kannappan, PL. 1 1971 On inverse property loops. Zbl 0279.20055 Kannappan, Pl. 1 1973 Theory of functional equations. Zbl 0282.39005 Kannappan, Pl. 1 1966 On various characterizations of directed-divergence. Zbl 0298.94031 Kannappan, Pl.; Rathie, P. N. 1 1973 On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011 Kannappan, Pl.; Ng, C. T. 1 1974 An equation associated with the distance between probability distributions. Zbl 0823.39006 Kannappan, PL.; Sahoo, P. K.; Chung, J. K. 1 1994 Divided differences and polynomials. Zbl 0823.39002 Kannappan, PL. 1 1994 Kullback-Leibler type distance measures between probability distributions. Zbl 0780.60019 Kannappan, PL.; Sahoo, P. K. 1 1992 Sum form equations of multiplicative type. Zbl 0823.39005 Kannappan, PL.; Sahoo, P. K. 1 1993 Introduction to functional equations. Zbl 1223.39012 Sahoo, Prasanna K.; Kannappan, Palaniappan 83 2011 Functional equations and inequalities with applications. Zbl 1178.39032 Kannappan, Pl. 244 2009 A third logarithmic functional equation and Pexider generalizations. Zbl 1079.39019 Heuvers, Konrad J.; Kannappan, Palaniappan 3 2005 On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301 Kannappan, Pl.; Sahoo, P. K. 27 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 4 2002 On the stability of the generalized cosine functional equations. Zbl 1139.39316 Kannappan, Palaniappan; Kim, Gwang Hui 18 2001 On a cosine functional equation for operators on the algebra of analytic functions in a domain. Zbl 0990.39022 Kannappan, Palaniappan; Nandakumar, Nagaiah Rangaswamy 6 2001 A property of quadratic polynomials in two variables. Zbl 1038.34071 Kannappan, P. L.; Sahoo, P. K. 4 2001 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 quadratic functional equation. Zbl 0957.39006 Kannappan, Pl. 7 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. 6 1998 On inner product spaces. I. Zbl 0949.39011 Kannappan, Pl. 5 1997 Characterizations of sum form information measures on open domains. Zbl 0880.39019 Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang 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. 104 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. 2 1995 An equation associated with the distance between probability distributions. Zbl 0823.39006 Kannappan, PL.; Sahoo, P. K.; Chung, J. K. 1 1994 Divided differences and polynomials. Zbl 0823.39002 Kannappan, PL. 1 1994 On the Cauchy difference. Zbl 0796.39011 Baron, K.; Kannappan, PL. 13 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. 2 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. 2 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. 50 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. 21 1989 Cauchy equations and some of their applications. Zbl 0731.39009 Kannappan, PL. 4 1989 An axiomatic characterization of J-divergence. Zbl 0678.62012 Kannappan, PL.; Rathie, P. N. 1 1989 On a generalization of the Shannon functional inequality. Zbl 0674.94005 Kannappan, PL.; Sahoo, P. K. 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. 7 1987 A functional identity characterizing polynomials. Zbl 0633.39005 Cross, G. E.; Kannappan, PL. 3 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. 3 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 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. 3 1986 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. 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. 24 1985 On functional equations and measures of information. I. Zbl 0624.39004 Kannappan, PL.; Ng, C. T. 5 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. Zbl 0568.39004 Kannappan, Pl.; Sahoo, P. K. 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 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 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 General two-place information functions. Zbl 0489.94005 Aczél, János; Kannappan, Pl. 4 1982 A mixed theory of information. VIII: Inset measures depending upon several distributions. Zbl 0521.94006 Kannappan, Pl.; Sander, W. 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 On a generalization of sum form functional equation. III. Zbl 0468.39005 Kannappan, PL. 7 1980 A mixed theory of information. IV: Inset-inaccuracy and directed divergence. Zbl 0433.94005 Kannappan, Pl. 7 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 functional equations from additive and nonadditive measures. II. Zbl 0479.39001 Kannappan, Pl. 1 1980 On some generalized functional equations in information theory. Zbl 0439.39003 Kannappan, PL. 1 1980 An application of a differential equation in information theory. Zbl 0456.94008 Kannappan, Pl. 5 1979 On some symmetric recursive inset measures of information. Zbl 0409.94007 Aczél, János; Kannappan, Pl. 1 1979 Distributional solutions in information theory. I. Zbl 0404.94004 Kaminski, A.; Kannappan, Pl.; Mikusinski, J. 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. 12 1974 On a functional equation related to the Cauchy equation. Zbl 0281.39006 Kannappan, Pl.; Kuczma, M. 5 1974 On a generalized directed-divergence function. Zbl 0316.94022 Kannappan, Pl.; Rathie, P. N. 2 1974 A functional equation and its application to information theory. Zbl 0284.39013 Kannappan, P.; Ng, C. T. 2 1974 On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011 Kannappan, Pl.; Ng, C. T. 1 1974 On a functional equation connected with generalized directed-divergence. Zbl 0291.39009 Kannappan, Pl. 1 1974 Measurable solutions of functional equations related to information theory. Zbl 0262.94019 Kannappan, Pl.; Ng, C. T. 18 1973 An inaccuracy function of type \(\beta\). Zbl 0338.94016 Rathie, P. N.; Kannappan, Pl. 13 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 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 575 Authors 36 Kannappan, Palaniappan 36 Park, Choonkil 35 Sahoo, Prasanna K. 34 Eshaghi Gordji, Madjid 33 Kabbaj, Samir 33 Zeglami, Driss 31 Najati, Abbas 27 Ebanks, Bruce R. 23 El-Fassi, Iz-Iddine 23 Kim, Gwang Hui 22 Brzdęk, Janusz 19 Elqorachi, Elhoucien 18 Ng, Che Tat 17 Rassias, Themistocles Michael 17 Stetkær, Henrik 15 Ciepliński, Krzysztof 15 Fadli, Brahim 15 Khodaei, Hamid 13 Jung, Soon-Mo 13 Rassias, John Michael 12 Bodaghi, Abasalt 11 Aczél, János Dezső 10 Chahbi, Abdellatif 10 Nath, Prem 9 Ayoubi, Mohamed 9 Charifi, Ahmed 9 Laohakosol, Vichian 9 Losonczi, László 9 Moghimi, Mohammad Bagher Farshbaf 9 Zaripov, Rinat G. 8 Bahyrycz, Anna 8 Chung, Jaeyoung 8 Gil, María Angeles 8 Rathie, Pushpa Narayan 8 Sander, Wolfgang 8 Tamilvanan, Kandhasamy 7 Almahalebi, Muaadh 7 Bae, Jae-Hyeong 7 Cho, Yeol Je 7 Elhoucien, Elqorachi 7 Eskandani, Golamreza Zamani 7 Lee, Young-Su 7 Noori, Batool 7 Wang, Zhihua 6 Aissi, Youssef 6 Fechner, Włodzimierz 6 Ghaemi, Mohammad Bagher 6 Ponpetch, Kanet 6 Sikorska, Justyna 6 Yang, Xiuzhong 5 Lee, Jung-Rye 5 Lee, Young Whan 5 Linchuk, Yurij Stepanovych 5 Łukasik, Radosław 5 Maksa, Gyula 5 Singh, Dhiraj Kumar 5 Zhao, Houyu 4 Akkaoui, Ahmed 4 Baker, John A. 4 Baron, Karol 4 Chandok, Sumit 4 Chang, Ick-Soon 4 Dimou, Hajira 4 Ebadian, Ali 4 Ger, Roman 4 Novák-Gselmann, Eszter 4 Kim, Hark-Mahn 4 Li, Yongjin 4 Majani, Hamid 4 Malejki, Renata 4 Manar, Youssef 4 Marley, Anthony A. J. 4 Mavecha, Sukrawan 4 Nuino, Ahmed 4 Park, Wongil 4 Rassias, Michael Th. 4 Riedel, Thomas 4 Sharma, Ravinder Kumar 4 Shen, Yonghong 4 Tareeghee, Mohammad Amin 4 Tial, Mohamed 4 Wang, Zhihua 3 Ajebbar, Omar 3 Alizadeh, Badrkhan 3 Aserrar, Youssef 3 Balasubramanian, Ganapathy 3 Boros, Zoltán 3 Choi, Ginkyu 3 Chojnacki, Wojciech 3 Chudziak, Małgorzata 3 Chung, Soon-Yeong 3 Dehghanian, Mehdi 3 El Fatini, Mohamed 3 El Ghali, Rachid 3 El-hady, El-sayed 3 Forti, Gian Luigi 3 Găvruţă, Paşc 3 Gil, Pedro A. 3 Hryrou, Mustapha Esseghyr 3 Hunt, Heather B. ...and 475 more Authors all top 5 Cited in 190 Serials 138 Aequationes Mathematicae 35 Journal of Mathematical Analysis and Applications 33 Results in Mathematics 23 Advances in Difference Equations 21 Abstract and Applied Analysis 21 Journal of Inequalities and Applications 19 Acta Mathematica Hungarica 14 Journal of Fixed Point Theory and Applications 12 Kybernetika 12 Proyecciones 10 Metrika 9 Bulletin of the Australian Mathematical Society 9 Russian Physics Journal 9 Annales Mathematicae Silesianae 9 Journal of Mathematical Inequalities 9 AIMS Mathematics 8 Demonstratio Mathematica 7 Proceedings of the American Mathematical Society 7 Applied Mathematics Letters 7 Communications of the Korean Mathematical Society 6 Applied Mathematics and Computation 6 Afrika Matematika 6 Journal of Function Spaces 5 Periodica Mathematica Hungarica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Semigroup Forum 5 Linear Algebra and its Applications 5 Filomat 5 Journal of Nonlinear Science and Applications 4 Acta Mathematica Academiae Scientiarum Hungaricae 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Information Sciences 4 Journal of Statistical Planning and Inference 4 Communications in Statistics. Theory and Methods 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Mediterranean Journal of Mathematics 4 Journal of Mahani Mathematical Research Center 4 Journal of Linear and Topological Algebra 3 Ukrainian Mathematical Journal 3 Dissertationes Mathematicae 3 International Journal of Mathematics and Mathematical Sciences 3 Kybernetes 3 Manuscripta Mathematica 3 Quaestiones Mathematicae 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Tôhoku Mathematical Journal. Second Series 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Journal of Information & Optimization Sciences 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Tatra Mountains Mathematical Publications 3 Acta Mathematica Sinica. English Series 3 Applied Mathematics E-Notes 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Function Spaces and Applications 3 Complex Analysis and Operator Theory 3 Tbilisi Mathematical Journal 3 Journal of Applied Analysis and Computation 3 Sahand Communications in Mathematical Analysis 3 Korean Journal of Mathematics 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Fuzzy Sets and Systems 2 Journal of Multivariate Analysis 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Theory and Decision 2 Cybernetics and Systems 2 Bulletin of the Korean Mathematical Society 2 Statistics & Probability Letters 2 Statistics 2 International Journal of Approximate Reasoning 2 Applications of Mathematics 2 Indagationes Mathematicae. New Series 2 The Journal of Analysis 2 Turkish Journal of Mathematics 2 Economic Theory 2 Journal of Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Journal of Interdisciplinary Mathematics 2 Nonlinear Functional Analysis and Applications 2 Kragujevac Journal of Mathematics 2 Thai Journal of Mathematics 2 International Journal of Geometric Methods in Modern Physics 2 Fixed Point Theory and Applications 2 European Journal of Pure and Applied Mathematics 2 Asian-European Journal of Mathematics 2 Acta Universitatis Sapientiae. Mathematica 2 Advances in Pure and Applied Mathematics 2 Palestine Journal of Mathematics 2 Journal of Classical Analysis 2 Mathematics 2 Open Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A ...and 90 more Serials all top 5 Cited in 52 Fields 611 Difference and functional equations (39-XX) 104 Information and communication theory, circuits (94-XX) 89 Functional analysis (46-XX) 82 Operator theory (47-XX) 36 Statistics (62-XX) 27 Real functions (26-XX) 25 Group theory and generalizations (20-XX) 18 General topology (54-XX) 16 Probability theory and stochastic processes (60-XX) 15 Ordinary differential equations (34-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Functions of a complex variable (30-XX) 9 Abstract harmonic analysis (43-XX) 9 Quantum theory (81-XX) 8 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Measure and integration (28-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 6 Nonassociative rings and algebras (17-XX) 6 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Integral transforms, operational calculus (44-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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