Some inequalities via probabilistic method

被引:2
作者
Wang, Mingjin [1 ]
机构
[1] Jiangsu Polytech Univ, Dept Appl Math, Changzhou City 213164, Jiangsu Prov, Peoples R China
关键词
Inequality; Random variable; Hermitian matrix; Expectation;
D O I
10.1016/j.camwa.2010.03.037
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain some new inequalities by means of the mean inequalities of random variables, which include generalizations of the Greub-Rheinboldt inequality. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3481 / 3488
页数:8
相关论文
共 9 条
[1]   Set-theoretic inequalities in stochastic noncooperative games with coalition [J].
Dshalalow, Jewgeni H. ;
Treerattrakoon, Ailada .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008,
[2]  
HARDY LH, 1952, INEQUALITIES
[3]   PARAMETRIC SCHUR CONVEXITY AND ARRANGEMENT MONOTONICITY PROPERTIES OF PARTIAL-SUMS [J].
SHAKED, M ;
SHANTHIKUMAR, JG ;
TONG, YL .
JOURNAL OF MULTIVARIATE ANALYSIS, 1995, 53 (02) :293-310
[4]   INEQUALITIES FOR PROBABILITY CONTENTS OF CONVEX-SETS VIA GEOMETRIC AVERAGE [J].
SHAKED, M ;
TONG, YL .
JOURNAL OF MULTIVARIATE ANALYSIS, 1988, 24 (02) :330-340
[5]  
Shaked M., 1994, Stochastic Orders and their Applications
[6]   SOME RECENT DEVELOPMENTS ON MAJORIZATION INEQUALITIES IN PROBABILITY AND STATISTICS [J].
TONG, YL .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 199 :69-90
[7]   Relationship between stochastic inequalities and some classical mathematical inequalities [J].
Tong, YL .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 1997, 1 (01) :85-98
[8]   Recurring mean inequality of random variables [J].
Wang, Mingjin .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[9]  
Wang MJ, 2002, MATH INEQUAL APPL, V5, P755