On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2004, v.11 no.4, pp.323-335

Jun, Kil-Woung (Department of Mathematics, Chungnam National University)
Kim, Hark-Mann (Department of Mathematics, Chungnam National University)
Lee, Don-O (Information Center for Mathematical Sciences, Korea Advanced Institute of Science and Technology)

Jun, Kil-Woung, Kim, Hark-Mann, & Lee, Don-O. (2004). ON THE HYERS-ULAM-RASSIAS STABILITY OF A MODIFIED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION. 한국수학교육학회지시리즈B:순수및응용수학, 11(4), 323-335.

복사

Abstract

In this paper, we solve the general solution of a modified additive and quadratic functional equation f(χ + 3y) + 3f(χ-y) = f(χ-3y) + 3f(χ+y) in the class of functions between real vector spaces and obtain the Hyers-Ulam-Rassias stability problem for the equation in the sense of Gavruta.

keywords: Hyers-Ulam stability, quadratic function

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논문 상세

Vol.11 No.4

ON THE HYERS-ULAM-RASSIAS STABILITY OF A MODIFIED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION

On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation

Abstract

한국수학교육학회지시리즈B:순수및응용수학