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

Stochastica (1980)

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

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topKannappan, 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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