On some functional equations from additive and nonadditive measures (III).

Autores: Palaniappan Kannappan
Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 4, Nº. 1, 1980, págs. 15-22
Idioma: inglés
Títulos paralelos:
- Ecuaciones funcionales a partir de medidas aditivas y no aditivas (III).
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Resumen
- In this series, this paper is devoted to the study of two related functional equations primarily connected with weighted entropy and weighted entropy of degree beta (which are weighted additive and weighted beta additive respectively) which include as special cases Shannon's entropy, inaccuracy (additive measures) and the entropy of degree beta (nonadditive) respectively. These functional equations which arise mainly from the representation and these 'additive' properties are solved for fixed m and n (positive integers) by simple and direct methods.