Derivation and applications of inequalities of Ostrowski type for n-times differentiable mappings for cumulative distribution function and some quadrature rules

被引：1

作者：

Qayyum, Ather ^{[1
]}

Kashif, Abdul Rehman ^{[2
]}

Shoaib, Muhammad ^{[3
]}

Faye, Ibrahima ^{[1
]}

机构：

[1] Univ Teknol PETRONAS, Dept Fundamental & Appl Sci, Bandar Seri Iskandar 32610, Perak Darul Rid, Malaysia

[2] Univ Hail, Dept Math, Hail 2440, Saudi Arabia

[3] Higher Coll Technol, Abu Dhabi Mens Coll, POB 25035, Abu Dhabi, U Arab Emirates

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 04期

关键词：

Ostrowski inequality; numerical integration; composite quadrature rule; cumulative distributive function; INTEGRAL-INEQUALITIES; ERROR-BOUNDS; GRUSS TYPE;

D O I：

10.22436/jnsa.009.04.38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper new integral inequalities of Ostrowski type are developed for n-times differentiable mappings. Some well known inequalities become special cases of the inequalities obtained in this paper. With the help of obtained inequalities, we will derive new and efficient quadrature rules which are analyzed with the help of specific examples. We also give applications for cumulative distribution function. (C) 2016 All rights reserved.

引用

页码：1844 / 1857

页数：14

共 21 条

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