STABILITY OF THE GENERALAIZED VERSION OF EULER-LAGRANGE TYPE QUADRATIC EQUATION

被引：0

作者：

Kim, Chang Il ^{[1
]}

Han, Giljun ^{[1
]}

Chang, Jeongwook ^{[1
]}

机构：

[1] Dankook Univ, Dept Math Educ, 126 Jukjeon, Yongin 448701, Gyeonggi, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 21卷 / 01期

关键词：

Generalized Hyers-Ulam Stability; Quadratic functional equation with general terms; functional operator; FUNCTIONAL-EQUATION; ULAM STABILITY; MAPPINGS; SPACES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we consider the generalized Hyers-Ulam stability for the following quadratic functional equation. f(ax + by) + f(ax - by) + G(f)(x, y) = 2a(2) f(x) + 2b(2) f(y) Here G(f) is a functional operator of f. We consider some sufficient conditions on G(f) which can be applied easily for the generalized Hyers-Ulam stability, and illustrate some new functional equations by using them.

引用

页码：156 / 169

页数：14

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