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.
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页数：6
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