Stability of the parametric fundamental equation of information for nonpositive parameters

Autor:	Gselmann, Eszter, Maksa, Gyula
Rok vydání:	2013
Předmět:	Mathematics - Classical Analysis and ODEs 39B82 39B72
Druh dokumentu:	Working Paper
DOI:	10.1007/s00010-009-2980-z
Popis:	In this note we prove that the parametric fundamental equation of information is stable in the sense of Hyers and Ulam provided that the parameter is nonpositive. We also prove, as a corollary, that the system of equations that defines the recursive and semi-symmetric information measures depending on a nonpositive parameter is stable in a certain sense. Comment: 10 pages, published in Aequationes Mathematicae in 2009
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.0656 Zobrazit plný text záznamu View this record from Arxiv