Generalized Pompeiu type inequalities for local fractional integrals and its applications

被引：48

作者：

Erden, Samet ^{[1
]}

Sarikaya, Mehmet Zeki ^{[2
]}

机构：

[1] Bartin Univ, Fac Sci, Dept Math, Bartin, Turkey

[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 274卷

关键词：

Pompeius mean value theorem; Local fractional integral; Fractal space; Numerical integration; Special means;

D O I：

10.1016/j.amc.2015.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First of all, the generalized Pompeius mean value theorem is established. Then, some generalized Pompeiu type inequalities are obtained. Finally, some applications of these inequalities in numerical integration and for special means are given. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：282 / 291

页数：10