Differences of Weighted Mixed Symmetric Means and Related Results

被引：10

作者：

Khan, Khuram Ali ^{[1
]}

Pecaric, J. ^{[1
,2
]}

Peric, I. ^{[3
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[3] Univ Zagreb, Fac Food Technol & Biotechnol, Zagreb 10000, Croatia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

Convex Function; Similar Setting; Positive Semidefinite; Positive Weight; Weight Version;

D O I：

10.1155/2010/289730

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some improvements of classical Jensen's inequality are used to define the weighted mixed symmetric means. Exponential convexity and mean value theorems are proved for the differences of these improved inequalities. Related Cauchy means are also defined, and their monotonicity is established as an application.

引用

页数：16

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