Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag-Leffler function is used to establi...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2890981 |
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| _version_ | 1832567043844472832 |
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| author | Tingmei Gao Ghulam Farid Ayyaz Ahmad Waewta Luangboon Kamsing Nonlaopon |
| author_facet | Tingmei Gao Ghulam Farid Ayyaz Ahmad Waewta Luangboon Kamsing Nonlaopon |
| author_sort | Tingmei Gao |
| collection | DOAJ |
| description | This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag-Leffler function is used to establish further Minkowski-type integral inequalities. Several related fractional integral inequalities that have recently been published in various articles can be inferred. |
| format | Article |
| id | doaj-art-93a464f718634a1497ed792eddec1f27 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-93a464f718634a1497ed792eddec1f272025-02-03T01:02:29ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2890981Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral OperatorTingmei Gao0Ghulam Farid1Ayyaz Ahmad2Waewta Luangboon3Kamsing Nonlaopon4School of Mathematical and Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag-Leffler function is used to establish further Minkowski-type integral inequalities. Several related fractional integral inequalities that have recently been published in various articles can be inferred.http://dx.doi.org/10.1155/2022/2890981 |
| spellingShingle | Tingmei Gao Ghulam Farid Ayyaz Ahmad Waewta Luangboon Kamsing Nonlaopon Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator Journal of Function Spaces |
| title | Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator |
| title_full | Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator |
| title_fullStr | Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator |
| title_full_unstemmed | Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator |
| title_short | Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator |
| title_sort | fractional minkowski type integral inequalities via the unified generalized fractional integral operator |
| url | http://dx.doi.org/10.1155/2022/2890981 |
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