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

Keywords

• Quadratic functional equatio,Pexiderized quadratic functional equatio,2000 AMS Classification: Primary 11D25

ON SOLUTIONS OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION OF PEXIDER TYPE

Abstract

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