Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity
In this paper, we give a generalized definition namely strongly α,h‐m-convex function that unifies many known definitions. By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex f...
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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/10.1155/2021/6675826 |
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| _version_ | 1832561368334598144 |
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| author | Zhongyi Zhang Ghulam Farid Kahkashan Mahreen |
| author_facet | Zhongyi Zhang Ghulam Farid Kahkashan Mahreen |
| author_sort | Zhongyi Zhang |
| collection | DOAJ |
| description | In this paper, we give a generalized definition namely strongly α,h‐m-convex function that unifies many known definitions. By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex functions. Moreover, this paper at once provides refinements and generalizations of a lot of fractional integral inequalities which are identified in remarks. |
| format | Article |
| id | doaj-art-874badb01649489098299b8c2a267474 |
| 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-874badb01649489098299b8c2a2674742025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66758266675826Inequalities for Unified Integral Operators via Strongly α,h‐m-ConvexityZhongyi Zhang0Ghulam Farid1Kahkashan Mahreen2Nanjing Vocational College of Information Technology, Nanjing, Jiangsu 210023, ChinaDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanIn this paper, we give a generalized definition namely strongly α,h‐m-convex function that unifies many known definitions. By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex functions. Moreover, this paper at once provides refinements and generalizations of a lot of fractional integral inequalities which are identified in remarks.http://dx.doi.org/10.1155/2021/6675826 |
| spellingShingle | Zhongyi Zhang Ghulam Farid Kahkashan Mahreen Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity Journal of Function Spaces |
| title | Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity |
| title_full | Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity |
| title_fullStr | Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity |
| title_full_unstemmed | Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity |
| title_short | Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity |
| title_sort | inequalities for unified integral operators via strongly α h m convexity |
| url | http://dx.doi.org/10.1155/2021/6675826 |
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