Abstract

We obtain the superstability of the Pexiderized multiplicative functional equation f(xy)=g(x)h(y) and investigate the stability of this equation in the following form: 1/(1+ψ(x,y))≤f(xy)/g(x)h(y)≤1+ψ(x,y) .

Details

Title
Superstability and Stability of the Pexiderized Multiplicative Functional Equation
Author
Lee, Young Whan
Publication year
2010
Publication date
2010
Publisher
Springer Nature B.V.
ISSN
10255834
e-ISSN
1029242X
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
856038444
Copyright
Copyright © 2010 Young Whan Lee et al. 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.