STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION WITH JENSEN TYPE

Title & Authors
STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION WITH JENSEN TYPE
LEE, YOUNG-WHAN;

Abstract
In this paper we solve a generalized quadratic Jensen type functional equation $\small{m^2 f (\frac{x+y+z}{m}) + f(x) + f(y) + f(z) =n^2 [f(\frac{x+y}{n}) +f(\frac{y+z}{n}) +f(\frac{z+x}{n})]}$ and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and Gavruta.
Keywords
hyers-ulam-rassias stability;quadratic functional equation;Popoviciu functional equation;
Language
English
Cited by
1.
ON THE SOLUTIONS OF A BI-JENSEN FUNCTIONAL EQUATION AND ITS STABILITY,;;

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