General inequalities via isotonic subadditive functionals

被引：0
|
作者：
Abramovich, S. [1 ]
Persson, L-E.
Pecaric, J.
Varosanec, S.
机构：
[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
[3] Lulea Univ Technol, Dept Math, S-95187 Lulea, Sweden
[4] Univ Zagreb, Dept Math, Zagreb 10000, Croatia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2007年 / 10卷 / 01期
关键词：
inequalities; isotonic; subadditive functional; Holder; Popoviciu; Minkowski; Bellman; Power mean inequality; sharpening of inequalities; interpolation; K-functional; Lebesgue spaces; Orlicz spaces; Lorentz spaces; Banach function spaces;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the Holder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.
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页码：15 / 28
页数：14
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