Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function
In this paper, we at first develop a generalized integral identity by associating Riemann-Liouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results...
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AIMS Press
2021-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021253?viewType=HTML |
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| author | Dumitru Baleanu Muhammad Samraiz Zahida Perveen Sajid Iqbal Kottakkaran Sooppy Nisar Gauhar Rahman |
| author_facet | Dumitru Baleanu Muhammad Samraiz Zahida Perveen Sajid Iqbal Kottakkaran Sooppy Nisar Gauhar Rahman |
| author_sort | Dumitru Baleanu |
| collection | DOAJ |
| description | In this paper, we at first develop a generalized integral identity by associating Riemann-Liouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems. |
| first_indexed | 2024-12-14T09:59:55Z |
| format | Article |
| id | doaj.art-f6cfe79a17154a2bb94072c551d55543 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-14T09:59:55Z |
| publishDate | 2021-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-f6cfe79a17154a2bb94072c551d555432022-12-21T23:07:18ZengAIMS PressAIMS Mathematics2473-69882021-02-01654280429510.3934/math.2021253Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another functionDumitru Baleanu0Muhammad Samraiz 1Zahida Perveen2Sajid Iqbal 3Kottakkaran Sooppy Nisar4Gauhar Rahman51. Department of Mathematics, Cankaya University, 06530 Ankara, Turkey 2. Institute of Space Sciences, 077125 Magurele, Romania 3. Department of Medical Research, China Medical University Hospital, China Medical University, 40250 Taichung, Taiwan4. Department of Mathematics, University of Sargodha, 40100 Sargodha, Pakistan4. Department of Mathematics, University of Sargodha, 40100 Sargodha, Pakistan5. Department of Mathematics, Riphah International University, Faisalabad Campus, Satyana Road, 38000 Faisalabad, Pakistan6. Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, 11991 Wadi Aldawaser, Saudi Arabia7. 5-Department of Mathematics and Statistics, Hazara University Mansehra, PakistanIn this paper, we at first develop a generalized integral identity by associating Riemann-Liouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems.http://www.aimspress.com/article/doi/10.3934/math.2021253?viewType=HTMLhermite-hadamard-fejer inequalitiesconvex functiongeneralized fractional integralmid-point inequalityriemann-liouville |
| spellingShingle | Dumitru Baleanu Muhammad Samraiz Zahida Perveen Sajid Iqbal Kottakkaran Sooppy Nisar Gauhar Rahman Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function AIMS Mathematics hermite-hadamard-fejer inequalities convex function generalized fractional integral mid-point inequality riemann-liouville |
| title | Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function |
| title_full | Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function |
| title_fullStr | Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function |
| title_full_unstemmed | Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function |
| title_short | Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function |
| title_sort | hermite hadamard fejer type inequalities via fractional integral of a function concerning another function |
| topic | hermite-hadamard-fejer inequalities convex function generalized fractional integral mid-point inequality riemann-liouville |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021253?viewType=HTML |
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