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2014•Journal of Mathematical and Computational ScienceRequires access

Generalized Hyers-Ulam stability of a quadratic functional equation in (β,p)-Banach spaces

Mohamed Sirouni, Samir Kabbaj

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Abstract

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability of the following quadratic functional equation f(ax+y)+a/2[f(x−y)+ f(y−x)] = a(a+1)f(x)+(a+1)f(y) in (β,p)-Banach spaces, where a is a nonzero fixed integer such that a≠0,−1,−2.

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What this paper is about

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability of the following quadratic functional equation f(ax+y)+a/2[f(x−y)+ f(y−x)] = a(a+1)f(x)+(a+1)f(y) in (β,p)-Banach spaces, where a is a nonzero fixed integer such that a≠0,−1,−2.

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Available abstract

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability of the following quadratic functional equation f(ax+y)+a/2[f(x−y)+ f(y−x)] = a(a+1)f(x)+(a+1)f(y) in (β,p)-Banach spaces, where a is a nonzero fixed integer such that a≠0,−1,−2.

Key concepts: Mathematics, Banach space, Integer (computer science), Quadratic equation, Stability (learning theory), Pure mathematics, Functional equation, Mathematical analysis

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