REFINEMENTS OF SOME MAJORIZATION TYPE INEQUALITIES

被引:21
|
作者
Khan, M. Adil [1 ,2 ]
Khalid, Sadia [1 ]
Pecaric, J. [1 ,3 ]
机构
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
[2] Univ Peshawar, Dept Math, Peshawar, Pakistan
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源
关键词
Convex functions; Jensen's inequality; Slater's inequality; majorization inequality; Favard and Berwald inequalities;
D O I
10.7153/jmi-07-07
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove refinements of some companion inequalities to the Jensen inequality, namely Slater's inequality and the inequalities obtained by Matic and Pecaric (2000). We also give refinements of majorization type inequalities, generalized weighted Favard and Berwald inequalities.
引用
收藏
页码:73 / 92
页数:20
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