Weighted Montgomery identity for the fractional integral of a function with respect to another function

被引：2

作者：

Aljinovic, Andrea Aglic ^{[1
]}

Krnic, Mario ^{[1
]}

Pecaric, Josip ^{[2
]}

机构：

[1] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2014年 / 21卷 / 01期

关键词：

Fractional integral; Montgomery identity; Ostrowski inequality;

D O I：

10.1515/gmj-2014-0001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a weighted Montgomery identity for the fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to L (p) spaces. These inequalities are generally sharp in case p > 1 and best possible in case p = 1. Applications for the Hadamard fractional integrals are given.

引用

页码：1 / 10

页数：10