[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.6.1759

A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITY

HENGKRAWIT, CHARINTHIP (Department of Mathematics and Statistics Faculty of Science and Technology Thammasat University)
THANYACHAROEN, ANURK (Department of Mathematics Faculty of Science and Technology Muban Chombueng Rajabhat University)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 1759-1776 More about this Journal

Abstract

We determine the general solution of the generalized additive-quartic functional equation f(x + 3y) + f(x - 3y) + f(x + 2y) + f(x - 2y) + 22f(x) - 13 [f(x + y) + f(x - y)] + 24f(y) - 12f(2y) = 0 without assuming any regularity conditions on the unknown function f : ${\mathbb{R}}{\rightarrow}{\mathbb{R}}$ and its stability is investigated.

Keywords

functional equation; $Fr{\acute{e}}chet$ functional equation; additive function; quartic function; difference operator; stability;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
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