New bounds for moments of continuous random variables

被引：4
作者：
Niezgoda, Marek [1 ]
机构：
[1] Univ Life Sci Lublin, Dept Appl Math & Comp Sci, PL-20950 Lublin, Poland
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 12期
关键词：
Gruss type inequality; Ostrowski-Gruss type inequality; Moments of random variable; OSTROWSKI-GRUSS TYPE; NUMERICAL QUADRATURE-RULES; ERROR-BOUNDS; INEQUALITIES; IMPROVEMENT;
D O I：
10.1016/j.camwa.2010.10.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some Gruss and Ostrowski-Gruss type inequalities are applied to estimate the moments of continuous random variables whose probability density function is in LP-space. Some results of Kumar are generalized [P. Kumar, Inequalities involving moments of a continuous random variable defined over a finite interval, Comput. Math. Appl. 48 (2004) 257-273; P. Kumar, The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables, Comput. Math. Appl. 49 (2005) 1929-1940]. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3130 / 3138
页数：9
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