ADDITIVE FUNCTIONAL INEQUALITIES IN PARANORMED SPACES

被引：0

作者：

Yang, Seo-Yun ^{[1
]}

Park, Choonkil ^{[2
]}

机构：

[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea

[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2014年 / 16卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Jordan-von Neumann functional equation; Hyers-Ulam stability; paranormed space; functional inequality; ULAM-RASSIAS STABILITY; MAPPINGS;

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 investigate the following additive functional inequalities parallel to 1/s f(x) + 1/s f(y) + f(z) + f(w)parallel to <= parallel to f (x+y/s + z + w)parallel to, parallel to 1/s f(x) + 1/s f(y) + 1/s f(z) + f(w)parallel to <= parallel to f(x+y+z/s + w)parallel to in paranormed spaces for a fixed integer s greater than 1. Furthermore, we prove the Hyers-Ulam stability of the above additive functional inequalities in paranormed spaces.

引用

页码：165 / 171

页数：7

共 28 条

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