Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application
In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity. We establish generalized identities involving ψ–Riemann–Liouville fractional integral pertaining first and twice differe...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9260828 |
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| _version_ | 1832561509557862400 |
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| author | Saad Ihsan Butt Muhammad Umar Khuram Ali Khan Artion Kashuri Homan Emadifar |
| author_facet | Saad Ihsan Butt Muhammad Umar Khuram Ali Khan Artion Kashuri Homan Emadifar |
| author_sort | Saad Ihsan Butt |
| collection | DOAJ |
| description | In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity. We establish generalized identities involving ψ–Riemann–Liouville fractional integral pertaining first and twice differentiable convex function λ, and these will be used to derive novel estimates for some fractional Hermite–Jensen–Mercer type inequalities. Some known results are recaptured from our results as special cases. Finally, an application from our results using the modified Bessel function of the first kind is established as well. |
| format | Article |
| id | doaj-art-895890b21b824d3dadcb9726c03bc4f8 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-895890b21b824d3dadcb9726c03bc4f82025-02-03T01:24:53ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/92608289260828Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and ApplicationSaad Ihsan Butt0Muhammad Umar1Khuram Ali Khan2Artion Kashuri3Homan Emadifar4COMSATs University Islamabad, Lahore Campus, Lahore, PakistanAfro-Asian Institute, Lahore, PakistanDepartment of Mathematics, University of Sargdha, Sargodha 40100, PakistanDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400 Vlorë, AlbaniaDepartment of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, IranIn this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity. We establish generalized identities involving ψ–Riemann–Liouville fractional integral pertaining first and twice differentiable convex function λ, and these will be used to derive novel estimates for some fractional Hermite–Jensen–Mercer type inequalities. Some known results are recaptured from our results as special cases. Finally, an application from our results using the modified Bessel function of the first kind is established as well.http://dx.doi.org/10.1155/2021/9260828 |
| spellingShingle | Saad Ihsan Butt Muhammad Umar Khuram Ali Khan Artion Kashuri Homan Emadifar Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application Complexity |
| title | Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application |
| title_full | Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application |
| title_fullStr | Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application |
| title_full_unstemmed | Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application |
| title_short | Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application |
| title_sort | fractional hermite jensen mercer integral inequalities with respect to another function and application |
| url | http://dx.doi.org/10.1155/2021/9260828 |
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