On a generalization of sum form functional equation (I).

Palaniappan Kannappan

Stochastica (1983)

  • Volume: 7, Issue: 2, page 97-109
  • ISSN: 0210-7821

Abstract

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The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...

How to cite

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Kannappan, Palaniappan. "On a generalization of sum form functional equation (I).." Stochastica 7.2 (1983): 97-109. <http://eudml.org/doc/38889>.

@article{Kannappan1983,
abstract = {The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...},
author = {Kannappan, Palaniappan},
journal = {Stochastica},
keywords = {Entropía; Teoría de la información; Ecuaciones funcionales; entropy with sum form; measurable solutions},
language = {eng},
number = {2},
pages = {97-109},
title = {On a generalization of sum form functional equation (I).},
url = {http://eudml.org/doc/38889},
volume = {7},
year = {1983},
}

TY - JOUR
AU - Kannappan, Palaniappan
TI - On a generalization of sum form functional equation (I).
JO - Stochastica
PY - 1983
VL - 7
IS - 2
SP - 97
EP - 109
AB - The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...
LA - eng
KW - Entropía; Teoría de la información; Ecuaciones funcionales; entropy with sum form; measurable solutions
UR - http://eudml.org/doc/38889
ER -

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