ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES

被引：0

作者：

Yun, Sungsik ^{[1
]}

Lee, Jung Rye ^{[2
]}

Park, Choonkil ^{[3
]}

Shin, Dong Yun ^{[4
]}

机构：

[1] Hanshin Univ, Dept Financial Math, Gyeonggi Do 18101, South Korea

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

[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

[4] Univ Seoul, Dept Math, Seoul 02504, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 07期

关键词：

Hyers-Ulam stability; additive-quadratic rho-functional inequality; Banach space; ULAM-RASSIAS STABILITY; ASTERISK-HOMOMORPHISMS; EQUATION; ALGEBRAS; SUPERSTABILITY;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let M(1)f(x,y): = 3/4 f(x + y) - 1/4 f(-x -y) +1/4f(x - y) + 1/4f (y - x) - f (x) - f(y), M(2)f(x, y) := 2f (x+ y/2) + f(x-y/2)+f(y-x/2) f(x) - f(y). We solve the additive-quadratic rho-functional inequalities parallel to M(1)f(x,y)parallel to <= parallel to rho M(2)f(x, y)parallel to, (0.1) where rho is a fixed complex number with vertical bar rho vertical bar < 1/2 and parallel to M(2)f(x,y)parallel to <= parallel to rho M(1)f(x,y)parallel to, (0.2) where rho is a fixed complex number with vertical bar rho vertical bar < 1. Using the direct method, we prove the Hyers-Ulam stability of the additive -quadratic rho-functional inequalities (0.1) and (0.2) in complex Banach spaces.

引用

页码：1203 / 1215

页数：13

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