Stability of additive-quadratic functional equation in modular space

Abstract

Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation equation φ(x+y, z+w)+φ(x-y, z-w)-2 φ(x, z)-2 φ(x, w)=0 equation in modular space satisfying the Fatou property or 2-condition.

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