Edit Profile (opens in new tab) Kannappan, Palaniappan Compute Distance To: Compute Author ID: kannappan.palaniappan Published as: Kannappan, Pl.; Kannappan, PL.; Kannappan, P. L.; Kannappan, Palaniappan; Kannappan, P. more...less External Links: MGP · dblp Documents Indexed: 168 Publications since 1965, including 3 Books Reviewing Activity: 115 Reviews Co-Authors: 29 Co-Authors with 94 Joint Publications 857 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 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 1,025 times in 661 Documents Cited by ▼ Year ▼ Functional equations and inequalities with applications. Zbl 1178.39032Kannappan, Pl. 194 2009 Quadratic functional equation and inner product spaces. Zbl 0836.39006Kannappan, Pl. 98 1995 The functional equation \(f(xy)+ f(xy^{-1}) = 2f(x)f(y)\) for groups. Zbl 0169.48102Kannappan, Pl. 62 1968 Introduction to functional equations. Zbl 1223.39012Sahoo, Prasanna K.; Kannappan, Palaniappan 58 2011 A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 38 1991 A directed-divergence function of type \(\beta\). Zbl 0231.94015Rathie, P. N.; Kannappan, Pl. 38 1972 On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301Kannappan, Pl.; Sahoo, P. K. 28 2003 Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups. Zbl 0224.20036Aczél, János; Baker, J. A.; Đoković, Dragomir Ž.; Kannappan, Pl.; Radó, F. 21 1971 A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002Chung, J. K.; Kannappan, Pl.; Ng, C. T. 20 1985 Measures of distance between probability distributions. Zbl 0669.60025Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K. 19 1989 A mixed theory of information. III: Inset entropies of degree \(\beta\). Zbl 0393.94011Aczél, János; Kannappan, Pl. 16 1978 A functional equation for the cosine. Zbl 0165.50003Kannappan, P. 16 1968 On the stability of the generalized cosine functional equations. Zbl 1139.39316Kannappan, Palaniappan; Kim, Gwang Hui 16 2001 Measurable solutions of functional equations related to information theory. Zbl 0262.94019Kannappan, Pl.; Ng, C. T. 16 1973 Some relations between additive functions. I. Zbl 0194.17401Kannappan, P.; Kurepa, S. 14 1970 On some functional equations from additive and non-additive measures. I. Zbl 0468.39002Kannappan, PL. 13 1980 On the Cauchy difference. Zbl 0796.39011Baron, K.; Kannappan, PL. 13 1993 On Shannon’s entropy, directed divergence and inaccuracy. Zbl 0241.94020Kannappan, Pl. 13 1972 An inaccuracy function of type \(\beta\). Zbl 0338.94016Rathie, P. N.; Kannappan, Pl. 13 1973 On the Pexider difference. Zbl 0715.39012Baron, K.; Kannappan, PL. 11 1990 On a generalization of some measures in information theory. Zbl 0287.39006Kannappan, Pl. 11 1974 Cauchy differences that depend on the product of arguments. Zbl 0780.39007Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 10 1992 On a characterization of directed divergence. Zbl 0255.94011Kannappan, P. L.; Rathie, P. N. 9 1973 On a functional equation connected with Shannon’s entropy. Zbl 0237.39007Rathie, P. N.; Kannappan, PL. 8 1971 On a cosine functional equation for operators on the algebra of analytic functions in a domain. Zbl 0990.39022Kannappan, Palaniappan; Nandakumar, Nagaiah Rangaswamy 8 2001 Note on generalized information function. Zbl 0384.39003Kannappan, PL. 7 1978 On a generalization of sum form functional equation. III. Zbl 0468.39005Kannappan, PL. 7 1980 A mixed theory of information. IV: Inset-inaccuracy and directed divergence. Zbl 0433.94005Kannappan, Pl. 7 1980 On some functional equations from additive and non-additive measures. V. Zbl 0509.39013Kannappan, Pl. 6 1982 Some relations between additive functions. II. Zbl 0214.37701Kannappan, Pl.; Kurepa, S. 6 1971 An application of a functional equation to information theory. Zbl 0235.39001Kannappan, P.; Rathie, P. N. 6 1972 On generalized information function. Zbl 0333.94008Kannappan, PL.; Rathie, P. N. 6 1975 On quadratic functional equation. Zbl 0957.39006Kannappan, Pl. 6 2000 An application of a differential equation in information theory. Zbl 0456.94008Kannappan, Pl. 6 1979 Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 6 1987 A characterization of low degree polynomials. Zbl 0830.39011Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S. 5 1995 Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 5 1988 On a new characterization of directed-divergence in information theory. Zbl 0298.94032Rathie, P. N.; Kannappan, Pl. 5 1973 On functional equations and measures of information. I. Zbl 0624.39004Kannappan, PL.; Ng, C. T. 5 1985 On the solution of a functional equation connected with inaccuracy. Zbl 0432.39004Kannappan, PL.; Rathie, P. N. 5 1975 On generalizations of the Pompeiu functional equation. Zbl 0897.39005Kannappan, Pl.; Sahoo, P. K. 5 1998 On inner product spaces. I. Zbl 0949.39011Kannappan, Pl. 4 1997 On Shannon’s entropy and a functional equation of Abel. Zbl 0364.39001Kannappan, Pl. 4 1977 On some functional equations from additive and nonadditive measures. III. Zbl 0468.39003Kannappan, PL. 4 1980 General two-place information functions. Zbl 0489.94005Aczél, János; Kannappan, Pl. 4 1982 A mixed theory of information. VIII: Inset measures depending upon several distributions. Zbl 0521.94006Kannappan, Pl.; Sander, W. 4 1982 On a generalized fundamental equation of information. Zbl 0522.39009Kannappan, P. L.; Ng, C. T. 4 1983 On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007Kannappan, P. L.; Sahoo, P. K.; Chung, J. K. 4 1993 On directed divergence and inaccuracy. Zbl 0248.94029Kannappan, Pl. 4 1972 On two trigonometric functional equations. Zbl 0659.39001Chung, J. K.; Kannappan, PL.; Ng, C. T. 4 1988 Finding sum of powers on arithmetic progressions with application of Cauchy’s equation. Zbl 1053.11014Kannappan, Pl.; Zhang, Weinian 4 2002 On a functional equation related to the Cauchy equation. Zbl 0281.39006Kannappan, Pl.; Kuczma, M. 4 1974 A third logarithmic functional equation and Pexider generalizations. Zbl 1079.39019Heuvers, Konrad J.; Kannappan, Palaniappan 3 2005 Cauchy equations and some of their applications. Zbl 0731.39009Kannappan, PL. 3 1989 On various characterizations of generalized directed divergence. Zbl 0362.94029Kannappan, Pl. 3 1975 On the functional equation \(f(x+y)+f(x-y) = 2f(x)f(y)\). Zbl 0136.12403Kannappan, Pl. 3 1965 On some functional equations from additive and nonadditive measures. IV. Zbl 0468.39004Kannappan, PL. 3 1981 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 3 1983 Characterizing topology on an Abelian semigroup by a functional equation. Zbl 0213.03102Kannappan, Pl. 3 1969 A functional identity characterizing polynomials. Zbl 0633.39005Cross, G. E.; Kannappan, PL. 3 1987 On a functional equation connected to sum form nonadditive information measures on an open domain. II. Zbl 0652.39010Kannappan, PL.; Sahoo, P. K. 3 1987 On the general solution of a functional equation connected to sum form information measures on open domain. III. Zbl 0628.39009Kannappan, PL.; Sahoo, P. K. 3 1986 Rudin’s problem on groups and a generalization of mean value theorem. Zbl 1023.39017Kannappan, Pl. 3 2003 Sum of powers of integers and the additive Cauchy equation. Zbl 0988.39022Kannappan, Pl. 3 2001 On functional equations and measures of information. II. Zbl 0428.94006Kannappan, Pl.; Ng, C. T. 3 1980 Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007Kannappan, Pl.; Sahoo, P. K. 3 1997 On two functional equations from information theory. Zbl 0612.39005Kannappan, PL. 3 1980 On a functional equation connected to sum form nonadditive information measures on an open domain. Zbl 0568.39004Kannappan, Pl.; Sahoo, P. K. 3 1985 On a generalization of sum form functional equation. V. Zbl 0571.39006Kannappan, Pl. 3 1985 On a functional equation associated with Simpson’s rule. Zbl 0879.39007Kannappan, Pl.; Riedel, T.; Sahoo, P. K. 2 1997 Characterizations of sum form information measures on open domains. Zbl 0880.39019Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang 2 1997 A note on some theorem in information theory. Zbl 0365.94028Kaminski, Andrzej; Kannappan, P. L. 2 1977 On sine functional equation. Zbl 0186.47801Kannappan, Pl. 2 1969 Generalized Bol functional equation. Zbl 0196.04002Belousov, V. D.; Kannappan, P. L. 2 1970 On a generalization of sum form functional equation. IV. Zbl 0509.39012Kannappan, Pl. 2 1980 Rotation invariant separable functions are Gaussian. Zbl 0760.39002Kannappan, PL.; Sahoo, P. K. 2 1992 Characterization of polynomials and divided difference. Zbl 0852.39005Kannappan, P. L.; Sahoo, P. K. 2 1995 Representation of sum form information measures with weighted additivity of type \((\alpha,\beta)\) on an open domain. Zbl 0708.94007Kannappan, PL.; Sahoo, P. K. 2 1990 A note on cosine functional equation for groups. Zbl 0234.39009Kannappan, PL. 2 1971 On weak inverse property loops. Zbl 0241.20062Kannappan, Pl. 2 1972 On a generalized directed-divergence function. Zbl 0316.94022Kannappan, Pl.; Rathie, P. N. 2 1974 On Moufang and extra loops. Zbl 0353.20044Kannappan, Pl. 2 1976 On a generalization of sum form functional equation. I. Zbl 0563.39004Kannappan, PL. 2 1983 Application of Cauchy’s equation in combinatorics and genetics. Zbl 0976.92016Kannappan, Pl. 2 2001 On a characterization of inaccuracy. Zbl 0442.94003Rathie, P. N.; Kannappan, Pl. 2 1977 Distributional solutions in information theory. II. Zbl 0449.94008Kaminski, A.; Kannappan, Pl. 2 1980 Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015Kannappan, P. L.; Sahoo, P. K. 2 1993 On a functional equation connected to sum form nonadditive information measures on an open domain. I. Zbl 0609.39005Kannappan, PL.; Sahoo, P. K. 2 1986 A functional equation and its application to information theory. Zbl 0284.39013Kannappan, P.; Ng, C. T. 2 1974 On a generalized directed divergence and related measures. Zbl 0401.94012Kannappan, Pl.; Rathie, P. N. 1 1978 Distributional solutions in information theory. I. Zbl 0404.94004Kaminski, A.; Kannappan, Pl.; Mikusinski, J. 1 1979 On some symmetric recursive inset measures of information. Zbl 0409.94007Aczél, János; Kannappan, Pl. 1 1979 On some functional equations from additive and nonadditive measures. II. Zbl 0479.39001Kannappan, Pl. 1 1980 On the measurable solution of a functional equation in two variables. Zbl 0496.39002Kannappan, Pl.; Rathie, P. N. 1 1978 On a multiplace functional equation related to information measures and functions. Zbl 0507.39003Kannappan, Pl. 1 1983 An equation associated with the distance between probability distributions. Zbl 0823.39006Kannappan, PL.; Sahoo, P. K.; Chung, J. K. 1 1994 Divided differences and polynomials. Zbl 0823.39002Kannappan, PL. 1 1994 Kullback-Leibler type distance measures between probability distributions. Zbl 0780.60019Kannappan, PL.; Sahoo, P. K. 1 1992 Sum form equations of multiplicative type. Zbl 0823.39005Kannappan, PL.; Sahoo, P. K. 1 1993 On the general solution of a functional equation connected to sum form information measures on open domain. V. Zbl 0716.39007Kannappan, PL.; Sahoo, P. K. 1 1988 Introduction to functional equations. Zbl 1223.39012Sahoo, Prasanna K.; Kannappan, Palaniappan 58 2011 Functional equations and inequalities with applications. Zbl 1178.39032Kannappan, Pl. 194 2009 A third logarithmic functional equation and Pexider generalizations. Zbl 1079.39019Heuvers, Konrad J.; Kannappan, Palaniappan 3 2005 On three functional equations related to the Bose-Einstein entropy. Zbl 1121.39301Kannappan, Pl.; Sahoo, P. K. 28 2003 Rudin’s problem on groups and a generalization of mean value theorem. Zbl 1023.39017Kannappan, Pl. 3 2003 Klee’s trigonometry problem. Zbl 1048.39018Kannappan, Pl. 1 2003 Finding sum of powers on arithmetic progressions with application of Cauchy’s equation. Zbl 1053.11014Kannappan, Pl.; Zhang, Weinian 4 2002 On the stability of the generalized cosine functional equations. Zbl 1139.39316Kannappan, Palaniappan; Kim, Gwang Hui 16 2001 On a cosine functional equation for operators on the algebra of analytic functions in a domain. Zbl 0990.39022Kannappan, Palaniappan; Nandakumar, Nagaiah Rangaswamy 8 2001 Sum of powers of integers and the additive Cauchy equation. Zbl 0988.39022Kannappan, Pl. 3 2001 Application of Cauchy’s equation in combinatorics and genetics. Zbl 0976.92016Kannappan, Pl. 2 2001 A property of quadratic polynomials in two variables. Zbl 1038.34071Kannappan, P. L.; Sahoo, P. K. 1 2001 On quadratic functional equation. Zbl 0957.39006Kannappan, Pl. 6 2000 Normal distributions and the functional equation \(f(x+y)g(x-y)=f(x)f(y)g(x)g(-y)\). Zbl 0976.39019Kannappan, Pl. 1 2000 On generalizations of the Pompeiu functional equation. Zbl 0897.39005Kannappan, Pl.; Sahoo, P. K. 5 1998 On inner product spaces. I. Zbl 0949.39011Kannappan, Pl. 4 1997 Sum form distance measures between probability distributions and functional equations. Zbl 0882.62007Kannappan, Pl.; Sahoo, P. K. 3 1997 On a functional equation associated with Simpson’s rule. Zbl 0879.39007Kannappan, Pl.; Riedel, T.; Sahoo, P. K. 2 1997 Characterizations of sum form information measures on open domains. Zbl 0880.39019Ebanks, Bruce R.; Kannappan, Palaniappan; Sahoo, Prasanna K.; Sander, Wolfgang 2 1997 Quadratic functional equation and inner product spaces. Zbl 0836.39006Kannappan, Pl. 98 1995 A characterization of low degree polynomials. Zbl 0830.39011Kannappan, Pl.; Sahoo, P. K.; Jacobson, M. S. 5 1995 Characterization of polynomials and divided difference. Zbl 0852.39005Kannappan, P. L.; Sahoo, P. K. 2 1995 An equation associated with the distance between probability distributions. Zbl 0823.39006Kannappan, PL.; Sahoo, P. K.; Chung, J. K. 1 1994 Divided differences and polynomials. Zbl 0823.39002Kannappan, PL. 1 1994 On the Cauchy difference. Zbl 0796.39011Baron, K.; Kannappan, PL. 13 1993 On a functional equation associated with the symmetric divergence measures. Zbl 0845.39007Kannappan, P. L.; Sahoo, P. K.; Chung, J. K. 4 1993 Cauchy difference - a generalization of Hosszu functional equation. Zbl 0889.39015Kannappan, P. L.; Sahoo, P. K. 2 1993 Sum form equations of multiplicative type. Zbl 0823.39005Kannappan, PL.; Sahoo, P. K. 1 1993 Cauchy differences that depend on the product of arguments. Zbl 0780.39007Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 10 1992 Rotation invariant separable functions are Gaussian. Zbl 0760.39002Kannappan, PL.; Sahoo, P. K. 2 1992 Kullback-Leibler type distance measures between probability distributions. Zbl 0780.60019Kannappan, PL.; Sahoo, P. K. 1 1992 A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Zbl 0712.39021Ebanks, B. R.; Kannappan, PL.; Sahoo, P. K. 38 1991 On the Pexider difference. Zbl 0715.39012Baron, K.; Kannappan, PL. 11 1990 Representation of sum form information measures with weighted additivity of type \((\alpha,\beta)\) on an open domain. Zbl 0708.94007Kannappan, PL.; Sahoo, P. K. 2 1990 Measures of distance between probability distributions. Zbl 0669.60025Chung, J. K.; Kannappan, P. L.; Ng, C. T.; Sahoo, P. K. 19 1989 Cauchy equations and some of their applications. Zbl 0731.39009Kannappan, PL. 3 1989 On a generalization of the Shannon functional inequality. Zbl 0674.94005Kannappan, PL.; Sahoo, P. K. 1 1989 An axiomatic characterization of J-divergence. Zbl 0678.62012Kannappan, PL.; Rathie, P. N. 1 1989 Two functional identities characterizing polynomials. Zbl 0683.39006Kannappan, PL.; Crstici, B. 1 1989 On entropies with the sum property on open domain. Zbl 0683.39007Kannappan, PL.; Sander, Wolfgang 1 1989 Recursive inset entropies of multiplicative type on open domains. Zbl 0659.39002Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 5 1988 On two trigonometric functional equations. Zbl 0659.39001Chung, 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 0716.39007Kannappan, PL.; Sahoo, P. K. 1 1988 Generalized fundamental equation of information of multiplicative type. Zbl 0612.39006Ebanks, B. R.; Kannappan, PL.; Ng, C. T. 6 1987 A functional identity characterizing polynomials. Zbl 0633.39005Cross, G. E.; Kannappan, PL. 3 1987 On a functional equation connected to sum form nonadditive information measures on an open domain. II. Zbl 0652.39010Kannappan, PL.; Sahoo, P. K. 3 1987 Characterization of some measures of information theory and the sum form functional equations - generalized directed divergence. I. Zbl 0642.94016Kannappan, PL. 1 1987 On the general solution of a functional equation connected to sum form information measures on open domain. III. Zbl 0628.39009Kannappan, PL.; Sahoo, P. K. 3 1986 On a functional equation connected to sum form nonadditive information measures on an open domain. I. Zbl 0609.39005Kannappan, PL.; Sahoo, P. K. 2 1986 On a functional equation in two variables connected to sum form information measures on an open domain. Zbl 0629.39006Kannappan, PL.; Sahoo, P. K. 1 1986 On the general solution of a functional equation connected to sum form information measures on open domain. IV. Zbl 0628.39010Kannappan, PL.; Sahoo, P. K. 1 1986 A generalization of the cosine-sine functional equation on groups. Zbl 0564.39002Chung, J. K.; Kannappan, Pl.; Ng, C. T. 20 1985 On functional equations and measures of information. I. Zbl 0624.39004Kannappan, PL.; Ng, C. T. 5 1985 On a functional equation connected to sum form nonadditive information measures on an open domain. Zbl 0568.39004Kannappan, Pl.; Sahoo, P. K. 3 1985 On a generalization of sum form functional equation. V. Zbl 0571.39006Kannappan, Pl. 3 1985 On a functional equation connected to sum form nonadditive information measures on an open domain. III. Zbl 0609.39006Kannappan, PL.; Sahoo, P. K. 1 1985 On a generalized fundamental equation of information. Zbl 0522.39009Kannappan, P. L.; Ng, C. T. 4 1983 Functional equations and inequalities in ’rational group decision making’. Zbl 0519.90009Aczél, János; Kannappan, Pl.; Ng, C. T.; Wagner, C. 3 1983 On a generalization of sum form functional equation. I. Zbl 0563.39004Kannappan, PL. 2 1983 On a multiplace functional equation related to information measures and functions. Zbl 0507.39003Kannappan, Pl. 1 1983 On some functional equations from additive and non-additive measures. V. Zbl 0509.39013Kannappan, Pl. 6 1982 General two-place information functions. Zbl 0489.94005Aczél, János; Kannappan, Pl. 4 1982 A mixed theory of information. VIII: Inset measures depending upon several distributions. Zbl 0521.94006Kannappan, Pl.; Sander, W. 4 1982 On some functional equations from additive and nonadditive measures. IV. Zbl 0468.39004Kannappan, PL. 3 1981 On some functional equations from additive and non-additive measures. I. Zbl 0468.39002Kannappan, PL. 13 1980 On a generalization of sum form functional equation. III. Zbl 0468.39005Kannappan, PL. 7 1980 A mixed theory of information. IV: Inset-inaccuracy and directed divergence. Zbl 0433.94005Kannappan, Pl. 7 1980 On some functional equations from additive and nonadditive measures. III. Zbl 0468.39003Kannappan, PL. 4 1980 On functional equations and measures of information. II. Zbl 0428.94006Kannappan, Pl.; Ng, C. T. 3 1980 On two functional equations from information theory. Zbl 0612.39005Kannappan, PL. 3 1980 On a generalization of sum form functional equation. IV. Zbl 0509.39012Kannappan, Pl. 2 1980 Distributional solutions in information theory. II. Zbl 0449.94008Kaminski, A.; Kannappan, Pl. 2 1980 On some functional equations from additive and nonadditive measures. II. Zbl 0479.39001Kannappan, Pl. 1 1980 On some generalized functional equations in information theory. Zbl 0439.39003Kannappan, PL. 1 1980 An application of a differential equation in information theory. Zbl 0456.94008Kannappan, Pl. 6 1979 Distributional solutions in information theory. I. Zbl 0404.94004Kaminski, A.; Kannappan, Pl.; Mikusinski, J. 1 1979 On some symmetric recursive inset measures of information. Zbl 0409.94007Aczél, János; Kannappan, Pl. 1 1979 A mixed theory of information. III: Inset entropies of degree \(\beta\). Zbl 0393.94011Aczél, János; Kannappan, Pl. 16 1978 Note on generalized information function. Zbl 0384.39003Kannappan, PL. 7 1978 On a generalized directed divergence and related measures. Zbl 0401.94012Kannappan, Pl.; Rathie, P. N. 1 1978 On the measurable solution of a functional equation in two variables. Zbl 0496.39002Kannappan, Pl.; Rathie, P. N. 1 1978 On the generalized ’extra’ functional equation. Zbl 0434.39011Kannappan, PL.; Sathyabhama, V. 1 1978 On Shannon’s entropy and a functional equation of Abel. Zbl 0364.39001Kannappan, Pl. 4 1977 A note on some theorem in information theory. Zbl 0365.94028Kaminski, Andrzej; Kannappan, P. L. 2 1977 On a characterization of inaccuracy. Zbl 0442.94003Rathie, P. N.; Kannappan, Pl. 2 1977 On Moufang and extra loops. Zbl 0353.20044Kannappan, Pl. 2 1976 On generalized information function. Zbl 0333.94008Kannappan, PL.; Rathie, P. N. 6 1975 On the solution of a functional equation connected with inaccuracy. Zbl 0432.39004Kannappan, PL.; Rathie, P. N. 5 1975 On various characterizations of generalized directed divergence. Zbl 0362.94029Kannappan, Pl. 3 1975 On a characterization of Gaussian measures in a Hilbert space. Zbl 0322.60005Kannan, D.; Kannappan, Pl. 1 1975 On a generalization of some measures in information theory. Zbl 0287.39006Kannappan, Pl. 11 1974 On a functional equation related to the Cauchy equation. Zbl 0281.39006Kannappan, Pl.; Kuczma, M. 4 1974 On a generalized directed-divergence function. Zbl 0316.94022Kannappan, Pl.; Rathie, P. N. 2 1974 A functional equation and its application to information theory. Zbl 0284.39013Kannappan, P.; Ng, C. T. 2 1974 On a functional equation connected with generalized directed-divergence. Zbl 0291.39009Kannappan, Pl. 1 1974 On functional equations connected with directed divergence, inaccuracy and generalized directed divergence. Zbl 0308.39011Kannappan, Pl.; Ng, C. T. 1 1974 Measurable solutions of functional equations related to information theory. Zbl 0262.94019Kannappan, Pl.; Ng, C. T. 16 1973 An inaccuracy function of type \(\beta\). Zbl 0338.94016Rathie, P. N.; Kannappan, Pl. 13 1973 On a characterization of directed divergence. Zbl 0255.94011Kannappan, P. L.; Rathie, P. N. 9 1973 On a new characterization of directed-divergence in information theory. Zbl 0298.94032Rathie, P. N.; Kannappan, Pl. 5 1973 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 510 Authors 36 Kannappan, Palaniappan 33 Eshaghi Gordji, Madjid 33 Sahoo, Prasanna K. 29 Park, Choonkil 27 Kabbaj, Samir 26 Zeglami, Driss 25 Ebanks, Bruce R. 24 Najati, Abbas 22 Brzdęk, Janusz 20 Kim, Gwang Hui 18 Ng, Che Tat 16 El-Fassi, Iz-Iddine 16 Stetkær, Henrik 15 Fadli, Brahim 15 Khodaei, Hamid 13 Ciepliński, Krzysztof 13 Rassias, John Michael 13 Rassias, Themistocles Michael 11 Aczél, János Dezső 11 Jung, Soon-Mo 10 Bodaghi, Abasalt 10 Elqorachi, Elhoucien 10 Nath, Prem 10 Wang, Zhihua 9 Losonczi, László 9 Moghimi, Mohammad Bagher Farshbaf 8 Bahyrycz, Anna 8 Chahbi, Abdellatif 8 Charifi, Ahmed 8 Chung, Jaeyoung 8 Gil, María Angeles 8 Lee, Young-Su 8 Rathie, Pushpa Narayan 8 Sander, Wolfgang 7 Almahalebi, Muaadh 7 Cho, Yeol Je 7 Eskandani, Golamreza Zamani 7 Laohakosol, Vichian 7 Tamilvanan, Kandhasamy 7 Zaripov, Rinat G. 6 Bae, Jae-Hyeong 6 Elhoucien, Elqorachi 6 Ghaemi, Mohammad Bagher 6 Noori, Batool 6 Ponpetch, Kanet 6 Sikorska, Justyna 6 Yang, Xiuzhong 5 Ayoubi, Mohamed 5 Fechner, Włodzimierz 5 Lee, Jung-Rye 5 Lee, Young Whan 5 Linchuk, Yurij Stepanovych 5 Łukasik, Radosław 5 Singh, Dhiraj Kumar 4 Aissi, Youssef 4 Arunkumar, Mohan 4 Baker, John A. 4 Baron, Karol 4 Chang, Ick-Soon 4 Ger, Roman 4 Kim, Hark-Mahn 4 Li, Yongjin 4 Majani, Hamid 4 Maksa, Gyula 4 Marley, Anthony A. J. 4 Mavecha, Sukrawan 4 Nuino, Ahmed 4 Riedel, Thomas 4 Shen, Yonghong 4 Tial, Mohamed 3 Ajebbar, Omar 3 Akkaoui, Ahmed 3 Alizadeh, Badrkhan 3 Balasubramanian, Ganapathy 3 Boros, Zoltán 3 Chojnacki, Wojciech 3 Chudziak, Małgorzata 3 Chung, Soon-Yeong 3 Dimou, Hajira 3 Ebadian, Ali 3 El Ghali, Rachid 3 Găvruţă, Paşc 3 Gil, Pedro A. 3 Gselmann, Eszter 3 Hunt, Heather B. 3 Jabłońska, Eliza 3 Jin, Yuanfeng 3 Jung, Yong-Soo 3 Li, Lin 3 Liu, Guofen 3 Lu, Gang 3 Luce, Robert Duncan 3 Malejki, Renata 3 Olko, Jolanta 3 Oubbi, Lahbib 3 Pachaiyappan, Divyakumari 3 Park, Wongil 3 Parnami, J. C. 3 Perkins, Allison M. 3 Pinelas, Sandra ...and 410 more Authors all top 5 Cited in 171 Serials 130 Aequationes Mathematicae 34 Journal of Mathematical Analysis and Applications 31 Results in Mathematics 22 Advances in Difference Equations 21 Abstract and Applied Analysis 20 Journal of Inequalities and Applications 17 Acta Mathematica Hungarica 14 Journal of Fixed Point Theory and Applications 12 Kybernetika 11 Proyecciones 10 Metrika 9 Bulletin of the Australian Mathematical Society 9 AIMS Mathematics 7 Proceedings of the American Mathematical Society 7 Applied Mathematics Letters 7 Russian Physics Journal 6 Applied Mathematics and Computation 6 Annales Mathematicae Silesianae 5 Periodica Mathematica Hungarica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Linear Algebra and its Applications 5 Filomat 5 Communications of the Korean Mathematical Society 5 Journal of Mathematical Inequalities 5 Journal of Nonlinear Science and Applications 5 Afrika Matematika 5 Journal of Function Spaces 4 Acta Mathematica Academiae Scientiarum Hungaricae 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Demonstratio Mathematica 4 Information Sciences 4 Journal of Statistical Planning and Inference 4 Communications in Statistics. Theory and Methods 4 Mediterranean Journal of Mathematics 4 Journal of Linear and Topological Algebra 3 Dissertationes Mathematicae 3 Kybernetes 3 Manuscripta Mathematica 3 Semigroup Forum 3 Tôhoku Mathematical Journal. Second Series 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Journal of Information & Optimization Sciences 3 Tatra Mountains Mathematical Publications 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Acta Mathematica Sinica. English Series 3 Journal of Function Spaces and Applications 3 Tbilisi Mathematical Journal 2 Ukrainian Mathematical Journal 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Fuzzy Sets and Systems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Multivariate Analysis 2 Monatshefte für Mathematik 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theory and Decision 2 Cybernetics and Systems 2 Bulletin of the Korean Mathematical Society 2 Statistics & Probability Letters 2 Statistics 2 Applications of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Journal of Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Journal of Interdisciplinary Mathematics 2 Applied Mathematics E-Notes 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Geometric Methods in Modern Physics 2 Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 European Journal of Pure and Applied Mathematics 2 Acta Universitatis Sapientiae. Mathematica 2 Advances in Pure and Applied Mathematics 2 Palestine Journal of Mathematics 2 Journal of Classical Analysis 2 Open Mathematics 2 Korean Journal of Mathematics 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Reports 1 Psychometrika 1 Chaos, Solitons and Fractals 1 Aplikace Matematiky 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Geometry 1 Journal of Mathematical Economics 1 Journal of Mathematical Psychology 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Mathematische Annalen ...and 71 more Serials all top 5 Cited in 49 Fields 536 Difference and functional equations (39-XX) 99 Information and communication theory, circuits (94-XX) 85 Functional analysis (46-XX) 67 Operator theory (47-XX) 32 Statistics (62-XX) 25 Real functions (26-XX) 24 Group theory and generalizations (20-XX) 18 General topology (54-XX) 13 Ordinary differential equations (34-XX) 11 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 8 Functions of a complex variable (30-XX) 8 Abstract harmonic analysis (43-XX) 7 Measure and integration (28-XX) 7 Special functions (33-XX) 7 Numerical analysis (65-XX) 6 Combinatorics (05-XX) 6 Approximations and expansions (41-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 5 Commutative algebra (13-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Associative rings and algebras (16-XX) 5 Partial differential equations (35-XX) 4 Nonassociative rings and algebras (17-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General algebraic systems (08-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Geometry (51-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) 1 Mathematics education (97-XX) Citations by Year