On the stability of a sum form equation in several variables

• Autorzy: Kocsis, I.
• Języki publikacji: EN

Abstrakty

EN

In this note we prove that a sum form functional equation arising in information theory, which holds for all k-dimensional (k > 1 is fixed) complete probability distributions, is stable.

Słowa kluczowe

EN

stability; sum form equation

• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 1
• Strony: 67--92
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kocsis, I.

• Institute of Mathematics and Informatics, University of Debrecen, H-4010, Debrecen P.O. Box 12, Hungary

Bibliografia

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• [6] L. Losonczi and Gy. Maksa, On some functional equations of the information theory, Acta Math. Acad. Sci. Hungar. 39 (1982), 73-82.
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• [10] L. Szekelyhidi, Ulam’s problem, Hyers’s solution - and to where they led, Functional equations and inequalities, Edited by Th. M. Rassias, Dordrecht: Kluwer Academic Publishers. Math. Appl., Dord. 518 (2000), 259-285.