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International Journal of Mathematics and Mathematical Sciences
Volume 32, Issue 1, Pages 57-63
http://dx.doi.org/10.1155/S0161171202112129

Notes on stability of the generalized gamma functional equation

1Department of Mathematics, Kangnam University, Suwon 449-702, Korea
2Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China

Received 17 December 2001

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Hyers-Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x+p)=a(x)g(x) under some conditions which involve convergence of complicated series. In this note, those conditions are simplified to be checked easily and more interesting examples other than the classical gamma functional equation are displayed.