International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 1, Pages 57-63
doi:10.1155/S0161171202112129
Notes on stability of the generalized gamma functional equation
Gwang Hui Kim1
, Bing Xu2
and Weinian Zhang2
1Department of Mathematics, Kangnam University, Suwon 449-702, Korea
2Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
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.