WEIGHTED FORM OF A RECENT REFINEMENT OF THE DISCRETE JENSEN'S INEQUALITY

被引：6

作者：

Horvath, Laszlo ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8200 Veszprem, Hungary

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 03期

关键词：

convex; mid-convex; Jensen's inequality; mean; MID-CONVEX FUNCTIONS;

D O I：

10.7153/mia-17-69

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Xiao, Srivastava and Zhang (see [10]) have introduced a new refinement of the discrete Jensen's inequality for mid-convex functions. We give and discuss the weighted form of their results. This leads to some new inequlities and limit formulas. We illustrate the scope of the results by applying them to introduce and study some new quasi-arithmetic means.

引用

页码：947 / 961

页数：15

共 10 条

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[Anonymous], OSTERR AKAD WISS MN

[2]

[Anonymous], 2001, Matrix Analysis and Applied Linear Algebra

[3]

[Anonymous], 2009, CAUCHYS EQUATION JEN

[4]

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