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

DOI10.4064/CM114-1-4zbMATH Open1163.39017arXiv1307.0666OpenAlexW2087368501MaRDI QIDQ3530822

Eszter Gselmann

Publication date: 20 October 2008

Published in: Colloquium Mathematicum (Search for Journal in Brave)

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

Full work available at URL: https://arxiv.org/abs/1307.0666

zbMATH Keywords

stabilityfundamental equation of information of multiplicative type

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Communication, information (94A99)

Related Items (3)

Recent results on the stability of the parametric fundamental equation of information ⋮ Inducing Information Stability to Obtain Information Theoretic Necessary Requirements ⋮ Some Functional Equations Related to the Characterizations of Information Measures and Their Stability

Recommendations

• Title not available (Why is that?) 👍 👎
• Stability of the parametric fundamental equation of information for nonpositive parameters 👍 👎
• On a multiplicative type sum form functional equation and its role in information theory. 👍 👎
• Generalized fundamental equation of information of multiplicative type 👍 👎
• The fundamental equation of information and its generalizations 👍 👎
• The stability of a sum form functional equation arising in information theory 👍 👎
• On a generalized fundamental equation of information 👍 👎
• Recent results on the stability of the parametric fundamental equation of information 👍 👎
• Some Functional Equations Related to the Characterizations of Information Measures and Their Stability 👍 👎
• A stability result concerning the Shannon entropy 👍 👎

This page was built for publication: Stability type results concerning the fundamental equation of information of multiplicative type

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3530822)