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
收藏
页码：1 / 10
页数：10
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