Inequalities for a Unified Integral Operator via α,m-Convex Functions
Recently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7). The aim of this paper is to establish bounds of this unified integral operator by mea...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2345416 |
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| author | Baizhu Ni Ghulam Farid Kahkashan Mahreen |
| author_facet | Baizhu Ni Ghulam Farid Kahkashan Mahreen |
| author_sort | Baizhu Ni |
| collection | DOAJ |
| description | Recently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7). The aim of this paper is to establish bounds of this unified integral operator by means of α,m-convex functions. The resulting inequalities provide the bounds of all associated fractional and conformable integral operators in a compact form. Also, the results of this paper hold for different kinds of convex functions connected with α,m-convex functions. |
| format | Article |
| id | doaj-art-b4747a9793ca467fa06ff39b2ea8504a |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b4747a9793ca467fa06ff39b2ea8504a2025-02-03T01:00:30ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/23454162345416Inequalities for a Unified Integral Operator via α,m-Convex FunctionsBaizhu Ni0Ghulam Farid1Kahkashan Mahreen2Mathematics Science Department, Normal University of Mudanjiang, Mudanjiang, Heilongjiang, ChinaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Islamabad, PakistanRecently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7). The aim of this paper is to establish bounds of this unified integral operator by means of α,m-convex functions. The resulting inequalities provide the bounds of all associated fractional and conformable integral operators in a compact form. Also, the results of this paper hold for different kinds of convex functions connected with α,m-convex functions.http://dx.doi.org/10.1155/2020/2345416 |
| spellingShingle | Baizhu Ni Ghulam Farid Kahkashan Mahreen Inequalities for a Unified Integral Operator via α,m-Convex Functions Journal of Mathematics |
| title | Inequalities for a Unified Integral Operator via α,m-Convex Functions |
| title_full | Inequalities for a Unified Integral Operator via α,m-Convex Functions |
| title_fullStr | Inequalities for a Unified Integral Operator via α,m-Convex Functions |
| title_full_unstemmed | Inequalities for a Unified Integral Operator via α,m-Convex Functions |
| title_short | Inequalities for a Unified Integral Operator via α,m-Convex Functions |
| title_sort | inequalities for a unified integral operator via α m convex functions |
| url | http://dx.doi.org/10.1155/2020/2345416 |
| work_keys_str_mv | AT baizhuni inequalitiesforaunifiedintegraloperatorviaamconvexfunctions AT ghulamfarid inequalitiesforaunifiedintegraloperatorviaamconvexfunctions AT kahkashanmahreen inequalitiesforaunifiedintegraloperatorviaamconvexfunctions |