On some refinements of Jensen's inequality

被引：1
|
作者：
Khan, MK [1 ]
Hanif, M
机构：
[1] Kent State Univ, Dept Math & Comp Sci, Kent, OH 44242 USA
[2] King Faisal Univ, Dept FAMCO, Dammam, Saudi Arabia
来源：
JOURNAL OF APPROXIMATION THEORY | 1998年 / 93卷 / 02期
关键词：
D O I：
10.1006/jath.1997.3139
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper contains a link between Probability Proportional to Size (PPS) sampling and interpolations of the classical Jensen inequality. We show that these interpolating inequalities are, in fact, special cases of the conditional Jensen inequality when applied over an appropriate probability space. We provide a few examples dealing with divided differences, convex functions over linear spaces, approximation operators, and sampling with and without replacement. (C) 1998 Academic Press.
引用
收藏
页码：313 / 330
页数：18
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