Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus
In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions. A new definition of function, namely, strongly α,m-convex function is applied in different forms and an extended Mittag-Leffler functi...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6610836 |
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| _version_ | 1832559798799826944 |
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| author | Chahn Yong Jung Ghulam Farid Kahkashan Mahreen Soo Hak Shim |
| author_facet | Chahn Yong Jung Ghulam Farid Kahkashan Mahreen Soo Hak Shim |
| author_sort | Chahn Yong Jung |
| collection | DOAJ |
| description | In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions. A new definition of function, namely, strongly α,m-convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade. |
| format | Article |
| id | doaj-art-e11654ab2efb438c811c28f29d8cf78f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e11654ab2efb438c811c28f29d8cf78f2025-02-03T01:29:19ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66108366610836Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional CalculusChahn Yong Jung0Ghulam Farid1Kahkashan Mahreen2Soo Hak Shim3Department of Business Administration, Gyeongsang National University, Jinju 52828, Republic of KoreaDepartment of Mathematics, COMSATS University Islamabad, Attock, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock, PakistanDepartment of Refrigeration and Air Conditioning Engineering, Chonnam National University, Yeosu 59626, Republic of KoreaIn this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions. A new definition of function, namely, strongly α,m-convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade.http://dx.doi.org/10.1155/2021/6610836 |
| spellingShingle | Chahn Yong Jung Ghulam Farid Kahkashan Mahreen Soo Hak Shim Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus Journal of Function Spaces |
| title | Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus |
| title_full | Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus |
| title_fullStr | Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus |
| title_full_unstemmed | Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus |
| title_short | Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus |
| title_sort | inequalities for a unified integral operator for strongly α m convex function and related results in fractional calculus |
| url | http://dx.doi.org/10.1155/2021/6610836 |
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