Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications
The main objective of this paper is to obtain some new δ-tempered fractional versions of Hermite–Hadamard’s inequality using the class of harmonic convex functions. In order to show the significance of the main results, we also discuss some interesting applications.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1948613 |
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| _version_ | 1849413400586616832 |
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| author | Nousheen Akhtar Muhammad Uzair Awan |
| author_facet | Nousheen Akhtar Muhammad Uzair Awan |
| author_sort | Nousheen Akhtar |
| collection | DOAJ |
| description | The main objective of this paper is to obtain some new δ-tempered fractional versions of Hermite–Hadamard’s inequality using the class of harmonic convex functions. In order to show the significance of the main results, we also discuss some interesting applications. |
| format | Article |
| id | doaj-art-6e95c9456f094abdbe103be21a6f78f0 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6e95c9456f094abdbe103be21a6f78f02025-08-20T03:34:08ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/19486131948613Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and ApplicationsNousheen Akhtar0Muhammad Uzair Awan1Department of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanThe main objective of this paper is to obtain some new δ-tempered fractional versions of Hermite–Hadamard’s inequality using the class of harmonic convex functions. In order to show the significance of the main results, we also discuss some interesting applications.http://dx.doi.org/10.1155/2021/1948613 |
| spellingShingle | Nousheen Akhtar Muhammad Uzair Awan Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications Journal of Mathematics |
| title | Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications |
| title_full | Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications |
| title_fullStr | Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications |
| title_full_unstemmed | Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications |
| title_short | Some δ-Tempered Fractional Hermite–Hadamard Inequalities Involving Harmonically Convex Functions and Applications |
| title_sort | some δ tempered fractional hermite hadamard inequalities involving harmonically convex functions and applications |
| url | http://dx.doi.org/10.1155/2021/1948613 |
| work_keys_str_mv | AT nousheenakhtar somedtemperedfractionalhermitehadamardinequalitiesinvolvingharmonicallyconvexfunctionsandapplications AT muhammaduzairawan somedtemperedfractionalhermitehadamardinequalitiesinvolvingharmonicallyconvexfunctionsandapplications |