On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces

Abstract

Abstract In this paper, we establish the Hyers-Ulam-Rassias stability of the quadratic functional equation of Pexiderized type f(x + y)+ f(x - y) = 2g(x)+ 2h(y), x⊥y in which ⊥ is the orthogonality in the sense of Rätz in modular spaces.