Stability of the Pexiderized Quadratic Functional Equation in Paranormed Spaces
Abstract
The aim of the present paper is to investigate the Hyers-Ulam
stability of the Pexiderized quadratic functional equation, namely
of $f(x + y)+f(x-y)=2g(x)+2h(y)$ in paranormed spaces. More
precisely, first we examine the stability for odd and even functions and then we apply our results to prove the Hyers-Ulam stability of the quadratic functional equation $f(x + y)+f(x-y)=2f(x)+2f(y)$ in paranormed spaces for a general function.
stability of the Pexiderized quadratic functional equation, namely
of $f(x + y)+f(x-y)=2g(x)+2h(y)$ in paranormed spaces. More
precisely, first we examine the stability for odd and even functions and then we apply our results to prove the Hyers-Ulam stability of the quadratic functional equation $f(x + y)+f(x-y)=2f(x)+2f(y)$ in paranormed spaces for a general function.
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