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Stability type results concerning the fundamental equation of information of multiplicative type

Eszter Gselmann

Colloquium Mathematicae (2009)

  • Volume: 114, Issue: 1, page 33-40
  • ISSN: 0010-1354

Abstract

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The paper deals with the stability of the fundamental equation of information of multiplicative type. It is proved that the equation in question is stable in the sense of Hyers and Ulam under some assumptions. This result is applied to prove the stability of a system of functional equations that characterizes the recursive measures of information of multiplicative type.

How to cite

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Eszter Gselmann. "Stability type results concerning the fundamental equation of information of multiplicative type." Colloquium Mathematicae 114.1 (2009): 33-40. <http://eudml.org/doc/284107>.

@article{EszterGselmann2009,
abstract = {The paper deals with the stability of the fundamental equation of information of multiplicative type. It is proved that the equation in question is stable in the sense of Hyers and Ulam under some assumptions. This result is applied to prove the stability of a system of functional equations that characterizes the recursive measures of information of multiplicative type.},
author = {Eszter Gselmann},
journal = {Colloquium Mathematicae},
keywords = {stability; fundamental equation of information of multiplicative type},
language = {eng},
number = {1},
pages = {33-40},
title = {Stability type results concerning the fundamental equation of information of multiplicative type},
url = {http://eudml.org/doc/284107},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Eszter Gselmann
TI - Stability type results concerning the fundamental equation of information of multiplicative type
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 33
EP - 40
AB - The paper deals with the stability of the fundamental equation of information of multiplicative type. It is proved that the equation in question is stable in the sense of Hyers and Ulam under some assumptions. This result is applied to prove the stability of a system of functional equations that characterizes the recursive measures of information of multiplicative type.
LA - eng
KW - stability; fundamental equation of information of multiplicative type
UR - http://eudml.org/doc/284107
ER -

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