Stability of generalized quadratic functional equation on a set of measure zero

Autor:	Youssef Aribou, Hajira Dimou, Abdellatif Chahbi, Samir Kabbaj
Jazyk:	German<br />English<br />French
Rok vydání:	2015
Předmět:	group automorphisms Jensen functional equation quadratic functional equation K -quadratic functional equation Pexider functional equation Hyers-Ulam stability Mathematics QA1-939
Zdroj:	Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 14, Pp 149-162 (2015)
Druh dokumentu:	article
ISSN:	2081-545X 2300-133X
DOI:	10.1515/aupcsm-2015-0011
Popis:	In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation ∑ k ∈ K f(x+ k.y)= Lf(x)+ Lf(y), x,y ∈ E, where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1c07fabb1d4e4448a0e9a2698563b375 Zobrazit plný text záznamu View record in DOAJ