Stability of the Pexiderized Quadratic Functional Equation in Paranormed Spaces

被引：1

作者：

Wang, Zhihua ^{[1
]}

Sahoo, Prasanna K. ^{[2
]}

机构：

[1] Hubei Univ Technol, Sch Sci, Wuhan 430068, Hubei, Peoples R China

[2] Univ Louisville, Dept Math, Louisville, KY 40292 USA

来源：

FILOMAT | 2016年 / 30卷 / 14期

关键词：

Hyers-Ulam stability; Paranormed space; Pexiderized quadratic functional equation;

D O I：

10.2298/FIL1614829W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present paper is to investigate the Hyers-Ulam stability of the Pexiderized quadratic functional equation, namely of f (x + y) + f (x - y) = 2 1 (x) + 2h(y) in paranormed spaces. More precisely, first we examine the stability for odd and even functions and then we apply our results to prove the Hyers-Ulam stability of the quadratic functional equation f (x + y) + f (x y) = 2 f(x) + 2 f(y) in paranormed spaces for a general function.

引用

页码：3829 / 3837

页数：9

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