ON SOLUTIONS OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION OF PEXIDER TYPE

Abstract

In this paper we study general solutions of the following Pexider functional equation (4 − k)f1 Xk i=1 xi + Xk j=2 fj Xk i=1,i6=j xi − xj + fk+1 − x1 + Xk i=2 xi = 4Xk j=1 fk+j+1 xj ,on a vector space over a field of characteristic different from 2, for k ≥ 3