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http://dx.doi.org/10.7468/jksmeb.2012.19.4.409

ASYMPTOTIC BEHAVIORS OF ALTERNATIVE JENSEN FUNCTIONAL EQUATIONS-REVISITED  

Chung, Jaeyoung (Department of Mathematics, Kunsan National University)
Choi, Chang-Kwon (Department of Mathematics, Kunsan National University)
Publication Information
The Pure and Applied Mathematics / v.19, no.4, 2012 , pp. 409-421 More about this Journal
Abstract
In this paper, using an efficient change of variables we refine the Hyers-Ulam stability of the alternative Jensen functional equations of J. M. Rassias and M. J. Rassias and obtain much better bounds and remove some unnecessary conditions imposed in the previous result. Also, viewing the fundamentals of what our method works, we establish an abstract version of the result and consider the functional equations defined in restricted domains of a group and prove their stabilities.
Keywords
Hyers-Ulam stability; Jensen equation; alternative Jensen functional equation; restricted domain;
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