ON AN L^∞-VERSION OF A PEXIDERIZED QUADRATIC FUNCTIONAL INEQUALITY

Abstract

Abstract. Let f, g, h, k : R n → C be locally integrable functions. We deal with the L ∞ -version of the Hyers-Ulam stability of the quadratic functional inequality and the Pexiderized quadratic functional inequalitybased on the concept of linear functionals on the space of smooth functions with compact support.