On the Superstability of Trigonometric Type Functional Equations
Journal of Advances in Mathematics and Computer Science · pp. 1146–1155 · Published 20 Feb 2014
10.9734/BJMCS/2014/7792Abstract
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.
Cited by 8
D. Zeglami, B. Fadli, S. Kabbaj · Aequationes mathematicae · 2015
F. Lehlou, M. Moussa, A. Roukbi · Afrika Matematika · 2018
Madjid Eshaghi Gordji, Themistocles M. Rassias, Mohamed Tial · Bulletin of the Korean Mathematical Society · 2016
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