ADDITIVE p-FUNCTIONAL INEQUALITIES

被引：0

作者：

Lee, Sung Jin ^{[1
]}

Lee, Jung Rye ^{[1
]}

Seo, Jeong Pil ^{[2
]}

机构：

[1] Daejin Univ, Dept Math, Kyunggi 11159, South Korea

[2] Ohsang High Sch, Gumi 730842, Kyeongsangbuk D, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2016年 / 23卷 / 02期

关键词：

Hyers-Ulam stability; additive rho-functional inequality;

D O I：

10.7468/jksmeb.2016.23.2.155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we solve the additive rho-functional inequalities (0.1) parallel to f(x + y) f (x - y) - 2f (x)parallel to <= parallel to rho(2f (x + y/2) + f (x - y) -2f(x))parallel to (0.2) parallel to 2f (x+y/2) + f(x - y) -2f (x)parallel to <=parallel to rho(f(x + y) + f(x - y) -2f (x))parallel to, where rho is a fixed complex number with vertical bar p vertical bar < 1. Furthermore, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in complex Banach spaces.

引用

页码：155 / 162

页数：8

共 12 条

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