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

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

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 obtain Ostrowski type inequalities involving functions whose first derivatives belong to Lp spaces. These inequalitie...

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Main Author: Andrea Aglić Aljinović
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/503195
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spelling doaj-8982900200fa49eca0271a0a52f51bc12020-11-24T22:51:21ZengHindawi LimitedJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/503195503195Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional IntegralAndrea Aglić Aljinović0Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10 000 Zagreb, CroatiaWe 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 obtain Ostrowski type inequalities involving functions whose first derivatives belong to Lp 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.http://dx.doi.org/10.1155/2014/503195
collection DOAJ
language English
format Article
sources DOAJ
author Andrea Aglić Aljinović
spellingShingle Andrea Aglić Aljinović
Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
Journal of Mathematics
author_facet Andrea Aglić Aljinović
author_sort Andrea Aglić Aljinović
title Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
title_short Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
title_full Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
title_fullStr Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
title_full_unstemmed Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
title_sort montgomery identity and ostrowski type inequalities for riemann-liouville fractional integral
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2014-01-01
description 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 obtain Ostrowski type inequalities involving functions whose first derivatives belong to Lp 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.
url http://dx.doi.org/10.1155/2014/503195
work_keys_str_mv AT andreaaglicaljinovic montgomeryidentityandostrowskitypeinequalitiesforriemannliouvillefractionalintegral
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