SOME NEW SCALES OF REFINED JENSEN AND HARDY TYPE INEQUALITIES

被引：7
|
作者：
Abramovich, S. [1 ]
Persson, L. E. [2 ,3 ]
Samko, N. [2 ,4 ]
机构：
[1] Univ Haifa, Dept Math, IL-31999 Haifa, Israel
[2] Lulea Univ Technol, Dept Engn Sci & Math, SE-971871 Lulea, Sweden
[3] Narvik Univ Coll, N-8505 Narvik, Norway
[4] Inst Super Tecn, Ctr CEAF, Dept Math, P-1049003 Lisbon, Portugal
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 03期
关键词：
Inequalities; refined Hardy type inequalities; refined Jensen type inequalities; convex functions; gamma-quasiconvex functions;
D O I：
10.7153/mia-17-82
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some scales of refined Jensen and Hardy type inequalities are derived and discussed. The key object in our technique is gamma-quasiconvex functions K(x) defined by K(x) x(-gamma) = phi (x), where phi is convex on [0, b), 0 < b <= infinity and gamma >= 0.
引用
收藏
页码：1105 / 1114
页数：10
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