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Research Article Open access CC BY 3.0

On the Superstability of Trigonometric Type Functional Equations

D. Zeglami, S. Kabbaj

Journal of Advances in Mathematics and Computer Science · pp. 1146–1155 · Published 20 Feb 2014

10.9734/BJMCS/2014/7792

Abstract

The aim of this paper is to study the superstability for the mixed trigonometric functional equation:                                                            and the stability of the Pexider type functional equation:                          where  G is any group, not necessarily abelian  f , g and  h are unknown complex valued functions and σ is an involution of G.   As a consequence we prove that if f satisfies the inequality   for all x , y ∈ G then  f is bounded.

Superstability d'Alembert's equation Trigonometric functional equation 2000 Mathematics Subject Classification Primary 39B72.

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Cited by 8

On a variant of μ-Wilson’s functional equation on a locally compact group

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F. Lehlou, M. Moussa, A. Roukbi · Afrika Matematika · 2018

ON A COMPOSITE FUNCTIONAL EQUATION RELATED TO THE GOLAB-SCHINZEL EQUATION

Madjid Eshaghi Gordji, Themistocles M. Rassias, Mohamed Tial · Bulletin of the Korean Mathematical Society · 2016

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