Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators
Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions. We develop Hermite–Hadamard-type inequalities for this class of convex function via...
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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/10.1155/2021/3089553 |
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| _version_ | 1832560514112159744 |
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| author | Changyue Chen Muhammad Shoaib Sallem Muhammad Sajid Zahoor |
| author_facet | Changyue Chen Muhammad Shoaib Sallem Muhammad Sajid Zahoor |
| author_sort | Changyue Chen |
| collection | DOAJ |
| description | Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions. We develop Hermite–Hadamard-type inequalities for this class of convex function via Raina’s fractional integral operator. |
| format | Article |
| id | doaj-art-3c39e7a7f1db44fc988a487d07a91a38 |
| 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-3c39e7a7f1db44fc988a487d07a91a382025-02-03T01:27:22ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/30895533089553Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral OperatorsChangyue Chen0Muhammad Shoaib Sallem1Muhammad Sajid Zahoor2School of Public Education, Shandong University of Finance and Economics, Taian, Shandong 271000, ChinaDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanConvex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions. We develop Hermite–Hadamard-type inequalities for this class of convex function via Raina’s fractional integral operator.http://dx.doi.org/10.1155/2021/3089553 |
| spellingShingle | Changyue Chen Muhammad Shoaib Sallem Muhammad Sajid Zahoor Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators Journal of Mathematics |
| title | Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators |
| title_full | Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators |
| title_fullStr | Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators |
| title_full_unstemmed | Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators |
| title_short | Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators |
| title_sort | some inequalities of generalized p convex functions concerning raina s fractional integral operators |
| url | http://dx.doi.org/10.1155/2021/3089553 |
| work_keys_str_mv | AT changyuechen someinequalitiesofgeneralizedpconvexfunctionsconcerningrainasfractionalintegraloperators AT muhammadshoaibsallem someinequalitiesofgeneralizedpconvexfunctionsconcerningrainasfractionalintegraloperators AT muhammadsajidzahoor someinequalitiesofgeneralizedpconvexfunctionsconcerningrainasfractionalintegraloperators |