IMPROVEMENT OF JENSEN-STEFFENSEN'S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS

被引：16
|
作者：
Abramovich, Shoshana [2 ]
Ivelic, Slavica [1 ]
Pecaric, Josip E. [3 ]
机构：
[1] Univ Split, Fac Civil Technol & Architecture, Split 21000, Croatia
[2] Univ Haifa, Dept Math, IL-31999 Haifa, Israel
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2010年 / 4卷 / 01期
关键词：
Jensen-Steffensen inequality; superquadratic function; convex function;
D O I：
10.15352/bjma/1272374678
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, improvements for superquadratic functions of Jensen-Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen-Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements and extensions of Jensen-Steffensen's inequality and related inequalities.
引用
收藏
页码：159 / 169
页数：11
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