On a sum form functional equation related to entropies and some moments of a discrete random variable

• Autorzy: Nath, P. , Singh, D.
• Języki publikacji: EN

Abstrakty

EN

The general solutions of a sum form functional equation have been obtained. The importance of its solutions in relation to the entropies and some moments of a discrete random variable has been discussed.

Słowa kluczowe

PL

entropia Shannona; równania funkcyjne; odwzorowania logarytmiczne

EN

Shannon entropy; functional equation; logarithmic mapping

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 1
• Strony: 83-96
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Nath, P.

autor

Singh, D.

• Department of Mathematics University of Delhi Delhi 110 007, India,

Bibliografia

• [1] T. W. Chaundy, J. B. McLeod, On a functional equation, Edinburgh Math. Notes 43 (1960), 7-8.
• [2] Z. Daróczy, L. Losonczi, Über die Erweiterung der auf einer Punktmenge additiven Funktionen, Publ. Math. (Debrecen) 14 (1967), 239-245.
• [3] J. Havrda, F. Charvát, Quantification method of classification process. Concept of structural α-entropy, Kybernetika (Prague) 3 (1967), 30-35.
• [4] Pl. Kannappan, On some functional equations from additive and nonadditive measures II, Second International Conference on Information Sciences and Systems (University of Patras, Patras, 1979), Vol. I, 45-50, Reidel—Dordrecht—Boston—Mass., 1980.
• [5] L. Losonczi, Gy. Maksa, On some functional equations of the information theory, Acta Math. Acad. Sci. Hung. 39 (1982), 73-82.
• [6] P. Nath, On some sum form functional equations related to information theory, Journal of Interdisciplinary Mathematics 9 (1) (2006), 1-15.
• [7] C. E. Shannon, A mathematical theory of communication, Bell Syst. Tech. Jour. 27 (1948), 378-423; 623-656.