Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications
In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9845407 |
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| _version_ | 1832550507495817216 |
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| author | Arshad Iqbal Muhammad Adil Khan Sana Ullah Yu-Ming Chu |
| author_facet | Arshad Iqbal Muhammad Adil Khan Sana Ullah Yu-Ming Chu |
| author_sort | Arshad Iqbal |
| collection | DOAJ |
| description | In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived. |
| format | Article |
| id | doaj-art-9cb7910752374459a39fd4d9a3e58cc1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9cb7910752374459a39fd4d9a3e58cc12025-02-03T06:06:31ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/98454079845407Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their ApplicationsArshad Iqbal0Muhammad Adil Khan1Sana Ullah2Yu-Ming Chu3Department of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaIn this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.http://dx.doi.org/10.1155/2020/9845407 |
| spellingShingle | Arshad Iqbal Muhammad Adil Khan Sana Ullah Yu-Ming Chu Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications Journal of Function Spaces |
| title | Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications |
| title_full | Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications |
| title_fullStr | Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications |
| title_full_unstemmed | Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications |
| title_short | Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications |
| title_sort | some new hermite hadamard type inequalities associated with conformable fractional integrals and their applications |
| url | http://dx.doi.org/10.1155/2020/9845407 |
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