On new Milne-type inequalities for fractional integrals
Abstract In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-02921-5 |
| _version_ | 1828056636711763968 |
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| author | Hüseyin Budak Pınar Kösem Hasan Kara |
| author_facet | Hüseyin Budak Pınar Kösem Hasan Kara |
| author_sort | Hüseyin Budak |
| collection | DOAJ |
| description | Abstract In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in the area of inequalities. This article is the first to study Milne-type inequalities for fractional integrals. |
| first_indexed | 2024-04-10T20:58:43Z |
| format | Article |
| id | doaj.art-4f185d3567804a16b0a263b55391e1f2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-10T20:58:43Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4f185d3567804a16b0a263b55391e1f22023-01-22T12:28:24ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-01-012023111510.1186/s13660-023-02921-5On new Milne-type inequalities for fractional integralsHüseyin Budak0Pınar Kösem1Hasan Kara2Department of Mathematics, Faculty of Science and Arts, Duzce UniversityDepartment of Mathematics, Faculty of Science and Arts, Duzce UniversityDepartment of Mathematics, Faculty of Science and Arts, Duzce UniversityAbstract In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in the area of inequalities. This article is the first to study Milne-type inequalities for fractional integrals.https://doi.org/10.1186/s13660-023-02921-5Milne-type inequalitiesConvex functionFractional integralsBounded functionFunction of bounded variation |
| spellingShingle | Hüseyin Budak Pınar Kösem Hasan Kara On new Milne-type inequalities for fractional integrals Journal of Inequalities and Applications Milne-type inequalities Convex function Fractional integrals Bounded function Function of bounded variation |
| title | On new Milne-type inequalities for fractional integrals |
| title_full | On new Milne-type inequalities for fractional integrals |
| title_fullStr | On new Milne-type inequalities for fractional integrals |
| title_full_unstemmed | On new Milne-type inequalities for fractional integrals |
| title_short | On new Milne-type inequalities for fractional integrals |
| title_sort | on new milne type inequalities for fractional integrals |
| topic | Milne-type inequalities Convex function Fractional integrals Bounded function Function of bounded variation |
| url | https://doi.org/10.1186/s13660-023-02921-5 |
| work_keys_str_mv | AT huseyinbudak onnewmilnetypeinequalitiesforfractionalintegrals AT pınarkosem onnewmilnetypeinequalitiesforfractionalintegrals AT hasankara onnewmilnetypeinequalitiesforfractionalintegrals |