On New Inequalities via Riemann-Liouville Fractional Integration
We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/428983 |
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| _version_ | 1832549094039486464 |
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| author | Mehmet Zeki Sarikaya Hasan Ogunmez |
| author_facet | Mehmet Zeki Sarikaya Hasan Ogunmez |
| author_sort | Mehmet Zeki Sarikaya |
| collection | DOAJ |
| description | We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some
integral inequalities for the fractional integral using differentiable convex functions. |
| format | Article |
| id | doaj-art-5cfaaf824f0146d1a7ad1597ae029369 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5cfaaf824f0146d1a7ad1597ae0293692025-02-03T06:12:16ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/428983428983On New Inequalities via Riemann-Liouville Fractional IntegrationMehmet Zeki Sarikaya0Hasan Ogunmez1Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon, TurkeyWe extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.http://dx.doi.org/10.1155/2012/428983 |
| spellingShingle | Mehmet Zeki Sarikaya Hasan Ogunmez On New Inequalities via Riemann-Liouville Fractional Integration Abstract and Applied Analysis |
| title | On New Inequalities via Riemann-Liouville Fractional Integration |
| title_full | On New Inequalities via Riemann-Liouville Fractional Integration |
| title_fullStr | On New Inequalities via Riemann-Liouville Fractional Integration |
| title_full_unstemmed | On New Inequalities via Riemann-Liouville Fractional Integration |
| title_short | On New Inequalities via Riemann-Liouville Fractional Integration |
| title_sort | on new inequalities via riemann liouville fractional integration |
| url | http://dx.doi.org/10.1155/2012/428983 |
| work_keys_str_mv | AT mehmetzekisarikaya onnewinequalitiesviariemannliouvillefractionalintegration AT hasanogunmez onnewinequalitiesviariemannliouvillefractionalintegration |