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

Jun, Kil-Woung; Jun, Kil-Woung; Lee, Ju-Ri; Lee, Ju-Ri; Lee, Yang-Hi; Lee, Yang-Hi

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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. , 16(2), 167-178.

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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>

2 f x, \frac{y + z}{2} - f (x, y) - f (x, z) = 0

$2f\;x,\;{\frac{y+z}{2}}-f(x,\;y)-f(x,\;z)=0$ </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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Article Contents

Vol.16 No.2

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

Abstract

Reference

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics