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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/503195 |
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| author | Andrea Aglić Aljinović |
| author_facet | Andrea Aglić Aljinović |
| author_sort | Andrea Aglić Aljinović |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-8982900200fa49eca0271a0a52f51bc1 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8982900200fa49eca0271a0a52f51bc12025-02-03T01:04:53ZengWileyJournal 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 |
| spellingShingle | Andrea Aglić Aljinović Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral Journal of Mathematics |
| title | 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_short | Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral |
| title_sort | montgomery identity and ostrowski type inequalities for riemann liouville fractional integral |
| url | http://dx.doi.org/10.1155/2014/503195 |
| work_keys_str_mv | AT andreaaglicaljinovic montgomeryidentityandostrowskitypeinequalitiesforriemannliouvillefractionalintegral |