New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions
Abstract A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to s...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-020-02538-y |
| _version_ | 1819051967320686592 |
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| author | Pshtiwan Othman Mohammed Thabet Abdeljawad Dumitru Baleanu Artion Kashuri Faraidun Hamasalh Praveen Agarwal |
| author_facet | Pshtiwan Othman Mohammed Thabet Abdeljawad Dumitru Baleanu Artion Kashuri Faraidun Hamasalh Praveen Agarwal |
| author_sort | Pshtiwan Othman Mohammed |
| collection | DOAJ |
| description | Abstract A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results. |
| first_indexed | 2024-12-21T12:12:21Z |
| format | Article |
| id | doaj.art-a2a586a6251049a1a041d927dd87f9ec |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-21T12:12:21Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a2a586a6251049a1a041d927dd87f9ec2022-12-21T19:04:33ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-12-012020111610.1186/s13660-020-02538-yNew fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functionsPshtiwan Othman Mohammed0Thabet Abdeljawad1Dumitru Baleanu2Artion Kashuri3Faraidun Hamasalh4Praveen Agarwal5Department of Mathematics, College of Education, University of SulaimaniDepartment of Mathematics and General Sciences, Prince Sultan UniversityDepartment of Mathematics, Faculty of Arts and Sciences, Cankaya UniversityDepartment of Mathematics, Faculty of Technical Science, University Ismail QemaliDepartment of Mathematics, College of Education, University of SulaimaniDepartment of Mathematics, Anand International College of EngineeringAbstract A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.https://doi.org/10.1186/s13660-020-02538-yRiemann–Liouville fractional integralHermite–Hadamard inequalityIncomplete gamma functionBessel functionq-digamma function |
| spellingShingle | Pshtiwan Othman Mohammed Thabet Abdeljawad Dumitru Baleanu Artion Kashuri Faraidun Hamasalh Praveen Agarwal New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions Journal of Inequalities and Applications Riemann–Liouville fractional integral Hermite–Hadamard inequality Incomplete gamma function Bessel function q-digamma function |
| title | New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions |
| title_full | New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions |
| title_fullStr | New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions |
| title_full_unstemmed | New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions |
| title_short | New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions |
| title_sort | new fractional inequalities of hermite hadamard type involving the incomplete gamma functions |
| topic | Riemann–Liouville fractional integral Hermite–Hadamard inequality Incomplete gamma function Bessel function q-digamma function |
| url | https://doi.org/10.1186/s13660-020-02538-y |
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