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Research Article Open access CC BY 4.0

The ε-Hyperstability of an Euler-Lagrange Type Quadratic Functional Equation in Banach Spaces

Mohamed Sirouni, Samir Kabbaj

Journal of Advances in Mathematics and Computer Science · pp. 481–493 · Published 20 Jan 2015

10.9734/BJMCS/2015/14474

Abstract

The main goal of this paper is the investigation of the ε-hyperstability of an Euler-Lagrange type quadratic functional equation                        f(x + y) +1/2[f(x - y) + f(y - x)] = 2f(y) + 2f(x)   in the class of functions from an abelian group into a Banach space.

Quadratic functional equation stability hyperstability banach space.

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