GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS

Kim, Hark-Mahn; Kim, Hark-Mahn; Son, Eun-Yonug; Son, Eun-Yonug

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.16 No.3

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GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS

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.3, pp.297-306

Kim, Hark-Mahn
Son, Eun-Yonug

Kim,, H. , & Son,, E. (2009). GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(3), 297-306.

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Abstract

In this paper, we obtain the general solution and the generalized HyersUlam stability theorem for an additive functional equation <TEX>$af(x+y)+2f({\frac{x}{2}}+y)+2f(x+{\frac{y}{2})=(a+3)[f(x)+f(y)]$</TEX>for any fixed integer a.

keywords: Hyers-Ulam stability, additive mapping

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Article Contents

Vol.16 No.3

GENERALIZED HYERS–ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS

Abstract

Reference

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