Hyers-Ulam-Rassias of Orthogonal Pexiderized Quadratic Functional Equation

Abstract

The Hyers-Ulam-Rassias stability of the conditional quadratic functional equation of Pexider type is a symmetric orthogonality in the sense of Rätz.

Measure zero stability problem of a generalized quadratic functional equation

“…Czerwik [6] proved the Hyers-Ulam stability of the quadratic functional equation. The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see [7][8][9]12,[14][15][16]18,22,23]). Among the results, Jung and Rassias proved the Hyers-Ulam stability of the quadratic functional equations in a restricted domain [13,24].…”