Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities
This paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially α,h−m-p-convex functions. These inequalities provide some general formulas from which one can get associated inequaliti...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3723867 |
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| _version_ | 1832562049547239424 |
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| author | Xiujun Zhang Ghulam Farid Hafsa Yasmeen Kamsing Nonlaopon |
| author_facet | Xiujun Zhang Ghulam Farid Hafsa Yasmeen Kamsing Nonlaopon |
| author_sort | Xiujun Zhang |
| collection | DOAJ |
| description | This paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially α,h−m-p-convex functions. These inequalities provide some general formulas from which one can get associated inequalities for various types of exponentially convex and strongly convex functions. Refinements of well-known inequalities are also deducible from the established theorems. |
| format | Article |
| id | doaj-art-64262234334041b7bab6a7752bc62e65 |
| 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-64262234334041b7bab6a7752bc62e652025-02-03T01:23:35ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3723867Some Generalized Formulas of Hadamard-Type Fractional Integral InequalitiesXiujun Zhang0Ghulam Farid1Hafsa Yasmeen2Kamsing Nonlaopon3School of Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially α,h−m-p-convex functions. These inequalities provide some general formulas from which one can get associated inequalities for various types of exponentially convex and strongly convex functions. Refinements of well-known inequalities are also deducible from the established theorems.http://dx.doi.org/10.1155/2022/3723867 |
| spellingShingle | Xiujun Zhang Ghulam Farid Hafsa Yasmeen Kamsing Nonlaopon Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities Journal of Function Spaces |
| title | Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities |
| title_full | Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities |
| title_fullStr | Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities |
| title_full_unstemmed | Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities |
| title_short | Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities |
| title_sort | some generalized formulas of hadamard type fractional integral inequalities |
| url | http://dx.doi.org/10.1155/2022/3723867 |
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