Additive functional inequalities in Banach spaces

被引：5

作者：

Lu, Gang ^{[1
]}

Park, Choonkil ^{[2
]}

机构：

[1] ShenYang Univ Technol, Sch Sci, Dept Math, Shenyang 110178, Peoples R China

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

Hyers-Ulam stability; additive functional inequality; additive mapping; APPROXIMATELY LINEAR MAPPINGS; STABILITY; HOMOMORPHISMS; ALGEBRAS;

D O I：

10.1186/1029-242X-2012-294

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the Hyers-Ulam stability of the following function inequalities: parallel to f(x) + f(y) + f(z)parallel to <= parallel to Kf(x+y+z/K)parallel to (0 < vertical bar K vertical bar < 3), parallel to f(x) + f(y) + Kf(z) <= parallel to Kf(x+y/K+z)parallel to (0 < K not equal 2) in Banach spaces. MSC: Primary 39B62; 39B52; 46B25

引用

页数：10

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