On Hyers-Ulam Stability of a Special Case of O'Connor's and Gajda's Functional Equations

摘要

In this paper, we obtain the Hyers-Ulam stability for the following functional equation where is a locally compact group, is a compact subgroup of , is the normalized Haar measure of , is a finite group of -invariant morphisms of and are continuous complex-valued functions such that satisfies the Kannappan type condition (*) for all