ON SOME PROPERTIES OF JENSEN-MERCER'S FUNCTIONAL

被引：0
|
作者：
Krnic, Mario [1 ]
Lovricevic, Neda [2 ]
Pecaric, Josip [3 ]
机构：
[1] Fac Elect Engn & Comp, Zagreb 10000, Croatia
[2] Fac Civil Engn & Architecture, Split 21000, Croatia
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2012年 / 6卷 / 01期
关键词：
Inequalities; convex functions; Jensen's functional; Jensen-Mercer's inequality; Jensen-Mercer's functional; Jensen-Steffensen's inequality; superadditivity; monotonicity; Jensen-Steffensen's integral inequality; BOUNDS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by results of S.S. Dragomir, J.E. Pecaric and L.E. Persson, related to superadditivity and monotonicity of discrete Jensen's functional, in this paper we consider Jensen-Mercer's functional, for which we state and prove analogous results. In particular, these results are obtained for Jensen-Mercer's functional under Jensen-Steffensen's conditions. Integral versions are also given.
引用
收藏
页码：125 / 139
页数：15
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