Title of article :
ON SOLUTIONS OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION OF PEXIDER TYPE
Author/Authors :
Janfada, Mohammad ferdowsi university of mashhad - Department of Pure Mathematics, مشهد, ايران , Shourvazi, Rahele hakim sabzevari university - Faculty of Mathematics and Computer Sciences, سبزوار, ايران
Abstract :
In this paper we study general solutions of the following Pexider functional equation (4-k) ƒ1(∑ (i=1)^k xi + ∑_(j=2)^k ƒi(+ ∑_(i=1,i≠j)^k xi) – xj)) + ƒk+1(-x1+∑_(i=2)^k xi=4∑_(j=1)^k[fk+j+1(xj),] on a vector space over a field of characteristic different from 2, for k ≥ 3.
Keywords :
Quadratic functional equation , Pexiderized quadratic functional equation
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics