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<br><br>\\\\\\\\begin{eqnarray}<br><br>(4-k)f_{1}(\\\\\\\\sum_{i=1}^{k}x_{i})+<br><br>\\\\\\\\sum_{j=2}^{k}f_{j}((\\\\\\\\sum_{i=1,i\\\\\\\\not=j}^{k}x_{i})-x_{j}))+f_{k+1}(-x_{1}+\\\\\\\\sum_{i=2}^k x_{i})=4\\\\\\\\sum_{j=1}^k f_{k+j+1}(x_{j}),