Hyperstability of a class of linear functional equations

Gyula Maksa, Z. Páles

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

The aim of this note is to offer hyperstability results for linear functional equations of the form f(s) + f(t) = 1/n ∑i=1 n f(sψi(t)) (s, t ∈ S), where S is a semigroup and where ψ1, . . . , ψn: S → S are pairwise distinct automorphisms of S such that the set {ψ1, . . . , ψn} is a group equipped with the composition as the group operation. The main results state that if f satisfies a stability inequality related to the above equation then it is also a solution of this equation.

Original languageEnglish
Pages (from-to)107-112
Number of pages6
JournalActa Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume17
Issue number2
Publication statusPublished - 2001

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Linear Functional
Functional equation
Linear equation
Automorphisms
Pairwise
Semigroup
Group
Distinct
Class
Form

Keywords

  • Cocyle equation
  • Generalized cocycle equation
  • Hyperstability of functional equations

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Hyperstability of a class of linear functional equations. / Maksa, Gyula; Páles, Z.

In: Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, Vol. 17, No. 2, 2001, p. 107-112.

Research output: Contribution to journalArticle

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