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

ISSN : 1226-0657

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Vol.17 No.3

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ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION

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
2010, v.17 no.3, pp.231-247
Jun, Kil-Woung
Lee, Yang-Hi
Oh, Jeong-Ha
Jun,, K. , Lee,, Y. , & Oh,, J. (2010). ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(3), 231-247.

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of a bi-Jensen functional equation <TEX>$4f(\frac{x\;+\;y}{2},\;\frac{z\;+\;w}{2})$</TEX> = f(x, z) + f(x, w) + f(y, z) + f(y, w). Also, we establish improved results for the stability of a bi-Jensen equation on the punctured domain.

keywords
solution, stability, bi-Jensen mapping, functional equation

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