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

页码：1105 / 1114

页数：10

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