Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized Katugampola fractional integral operator. Cert...
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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/10.1155/2022/2350193 |
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| _version_ | 1832552083541196800 |
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| author | Majid K. Neamah Alawiah Ibrahim Hala Shaker Mehdy Saleh S. Redhwan Mohammed S. Abdo |
| author_facet | Majid K. Neamah Alawiah Ibrahim Hala Shaker Mehdy Saleh S. Redhwan Mohammed S. Abdo |
| author_sort | Majid K. Neamah |
| collection | DOAJ |
| description | In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized Katugampola fractional integral operator. Certain special instances of our main results are considered. The detailed results extend and generalize some of the present results by applying some special values to the parameters. |
| format | Article |
| id | doaj-art-6df2b0c1b5a043ffa6d362f940de9392 |
| 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-6df2b0c1b5a043ffa6d362f940de93922025-02-03T05:59:36ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2350193Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral OperatorMajid K. Neamah0Alawiah Ibrahim1Hala Shaker Mehdy2Saleh S. Redhwan3Mohammed S. Abdo4Department of MathematicsDepartment of Mathematical SciencesCollege of EducationDepartment of MathematicsDepartment of MathematicsIn this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized Katugampola fractional integral operator. Certain special instances of our main results are considered. The detailed results extend and generalize some of the present results by applying some special values to the parameters.http://dx.doi.org/10.1155/2022/2350193 |
| spellingShingle | Majid K. Neamah Alawiah Ibrahim Hala Shaker Mehdy Saleh S. Redhwan Mohammed S. Abdo Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator Journal of Function Spaces |
| title | Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator |
| title_full | Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator |
| title_fullStr | Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator |
| title_full_unstemmed | Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator |
| title_short | Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator |
| title_sort | some new fractional inequalities involving convex functions and generalized fractional integral operator |
| url | http://dx.doi.org/10.1155/2022/2350193 |
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