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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.19 No.4

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ASYMPTOTIC BEHAVIORS OF ALTERNATIVE JENSEN FUNCTIONAL EQUATIONS-REVISITED

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.4, pp.409-421
https://doi.org/10.7468/jksmeb.2012.19.4.409
Chung, Jaeyoung
Choi, Chang-Kwon
Chung,, J. , & Choi,, C. (2012). ASYMPTOTIC BEHAVIORS OF ALTERNATIVE JENSEN FUNCTIONAL EQUATIONS-REVISITED. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(4), 409-421, https://doi.org/10.7468/jksmeb.2012.19.4.409

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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A collection of mathematical problems.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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