Mathematica Eterna
Open Access

Abstract

Generalized Ulam-Hyers stability of an AQ-functional equation in quasi-beta-normed spaces

K.Ravi,J.M.Rassias,R. Kodandan

In this paper, we introduce and investigate the general solution of a new functional equation f  x + y a + z + w b  + f  x + y a − z + w b  = 1 a 2 [(1 + a)f(x + y) + (1 − a)f(−x − y)] + 1 b 2 [f(z + w) + f(−z − w)] where a, b ≥ 2 and discuss its Generalized Hyers - Ulam - Rassias stability in Quasi -β-normed spaces.