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

Palaniappan Kannappan

Stochastica (1980)

  • Volume: 4, Issue: 1, page 15-22
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Kannappan, Palaniappan. "On some functional equations from additive and nonadditive measures (III).." Stochastica 4.1 (1980): 15-22. <http://eudml.org/doc/38831>.

@article{Kannappan1980,
abstract = {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.},
author = {Kannappan, Palaniappan},
journal = {Stochastica},
keywords = {Ecuaciones funcionales; Entropía ponderada; additive and nonadditive measures; additive properties; weighted entropy; Shannon's entropy},
language = {eng},
number = {1},
pages = {15-22},
title = {On some functional equations from additive and nonadditive measures (III).},
url = {http://eudml.org/doc/38831},
volume = {4},
year = {1980},
}

TY - JOUR
AU - Kannappan, Palaniappan
TI - On some functional equations from additive and nonadditive measures (III).
JO - Stochastica
PY - 1980
VL - 4
IS - 1
SP - 15
EP - 22
AB - 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.
LA - eng
KW - Ecuaciones funcionales; Entropía ponderada; additive and nonadditive measures; additive properties; weighted entropy; Shannon's entropy
UR - http://eudml.org/doc/38831
ER -

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