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

ISSN : 1226-0657

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Vol.16 No.2

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ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II

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
2009, v.16 no.2, pp.167-178
Jun, Kil-Woung
Lee, Ju-Ri
Lee, Yang-Hi
Jun,, K. , Lee,, J. , & Lee,, Y. (2009). ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(2), 167-178.

Abstract

In this paper, we obtain the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation f(x+y, z)-f(x, z)-f(y, z)=0, <TEX>$$2f\;x,\;{\frac{y+z}{2}}-f(x,\;y)-f(x,\;z)=0$$</TEX> in the spirit of P. <TEX>$G{\breve{a}}vruta$</TEX>.

keywords
generalized Hyers-Ulam stability, Cauchy-Jensen functional equation

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

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