Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral

被引：12

作者：

Aljinovic, Andrea Aglic ^{[1
]}

机构：

[1] Univ Zagreb, Fac Elect Engn & Comp, Unska 3, Zagreb 10000, Croatia

来源：

JOURNAL OF MATHEMATICS | 2014年 / 2014卷

关键词：

D O I：

10.1155/2014/503195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function F with respect to another function G We further use them to obtainOstrowski type inequalities involving functions whose first derivatives belong to L-P spaces. These inequalities are generally sharp in case P > 1 and the best possible in case P = 1. Application for Hadamard fractional integrals is given.

引用

页数：6

共 6 条

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