The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces

EL-Fassi, Iz-iddine; Kabbaj, Samir

doi:10.1515/awutm-2015-0014

Abstract

In this paper, we prove the hyperstability of the following mixed additive-quadratic-Jensen functional equation $2 f (\frac{x + y}{2}) + f (\frac{x - y}{2}) + f (\frac{y - x}{2}) = f (x) + f (y)$ $$2f({{x + y} \over 2}) + f({{x - y} \over 2}) + f({{y - x} \over 2}) = f(x) + f(y)$$ in the class of functions from an 2-divisible abelian group G into a Banach space.

References

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The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces

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