Refinements of Some Integral Inequalities for φ-Convex Functions
In this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators. Several known results are connected with partic...
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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/10.1155/2020/8825786 |
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| _version_ | 1832563370702667776 |
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| author | Moquddsa Zahra Yu-Ming Chu Ghulam Farid |
| author_facet | Moquddsa Zahra Yu-Ming Chu Ghulam Farid |
| author_sort | Moquddsa Zahra |
| collection | DOAJ |
| description | In this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators. Several known results are connected with particular assumptions. |
| format | Article |
| id | doaj-art-945770ab2308479aaa22e4a31f3e96da |
| 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-945770ab2308479aaa22e4a31f3e96da2025-02-03T01:20:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88257868825786Refinements of Some Integral Inequalities for φ-Convex FunctionsMoquddsa Zahra0Yu-Ming Chu1Ghulam Farid2Department of Mathematics, University of Wah, Wah Cantt, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanIn this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators. Several known results are connected with particular assumptions.http://dx.doi.org/10.1155/2020/8825786 |
| spellingShingle | Moquddsa Zahra Yu-Ming Chu Ghulam Farid Refinements of Some Integral Inequalities for φ-Convex Functions Journal of Mathematics |
| title | Refinements of Some Integral Inequalities for φ-Convex Functions |
| title_full | Refinements of Some Integral Inequalities for φ-Convex Functions |
| title_fullStr | Refinements of Some Integral Inequalities for φ-Convex Functions |
| title_full_unstemmed | Refinements of Some Integral Inequalities for φ-Convex Functions |
| title_short | Refinements of Some Integral Inequalities for φ-Convex Functions |
| title_sort | refinements of some integral inequalities for φ convex functions |
| url | http://dx.doi.org/10.1155/2020/8825786 |
| work_keys_str_mv | AT moquddsazahra refinementsofsomeintegralinequalitiesforphconvexfunctions AT yumingchu refinementsofsomeintegralinequalitiesforphconvexfunctions AT ghulamfarid refinementsofsomeintegralinequalitiesforphconvexfunctions |