Some integral inequalities via Caputo and Liouville fractional integral operators for m-convex functions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911850383278080 |
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| author | Özdemir, M. Emin |
| author_facet | Özdemir, M. Emin |
| contents | This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for m-convex functions. In general, in this work we obtain upper bounds for the left sides of Lemma 1[10] and lemma 2[20]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14892 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some integral inequalities via Caputo and Liouville fractional integral operators for m-convex functions Özdemir, M. Emin Functional Analysis This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for m-convex functions. In general, in this work we obtain upper bounds for the left sides of Lemma 1[10] and lemma 2[20]. |
| title | Some integral inequalities via Caputo and Liouville fractional integral operators for m-convex functions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2404.14892 |