ASYMPTOTIC BEHAVIORS OF ALTERNATIVE JENSEN FUNCTIONAL EQUATIONS-REVISITED
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In this paper, using an efficient change of variables we re¯ne 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 condi-tions 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 func-tional equations defined in restricted domains of a group and prove their stabilities.
Abstract
In this paper, using an efficient change of variables we re¯ne 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 condi-tions 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 func-tional equations defined in restricted domains of a group and prove their stabilities.
참고문헌 (13)
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