Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Noor, Muhammad Aslam | |
| dc.contributor.author | Rashid, Saima | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2019-12-25T13:13:05Z | |
| dc.date.accessioned | 2025-09-18T15:44:26Z | |
| dc.date.available | 2019-12-25T13:13:05Z | |
| dc.date.available | 2025-09-18T15:44:26Z | |
| dc.date.issued | 2019 | |
| dc.description | Noor, Muhammad/0000-0001-6105-2435; Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In the present paper, we investigate some Hermite-Hadamard (HH) inequalities related to generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex functions. We also show the fundamental identity for GRLFI having the first order derivative of a given exponentially convex function. Monotonicity and exponentially convexity of functions are used with some traditional and forthright inequalities. In the application part, we give examples and new inequalities for the special means. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second author would like to thank Prince Sultan University for funding this work through research, group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Rashid, Saima...et al. (2019). "Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications", Mathematics, Vol. 7, No. 9. | en_US |
| dc.identifier.doi | 10.3390/math7090807 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85072344064 | |
| dc.identifier.uri | https://doi.org/10.3390/math7090807 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14274 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Convex Function | en_US |
| dc.subject | Exponentially Convex Function | en_US |
| dc.subject | Fractional Integrals | en_US |
| dc.subject | Generalized Riemann-Liouville Fractional Integrals | en_US |
| dc.title | Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications | en_US |
| dc.title | Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Noor, Muhammad/0000-0001-6105-2435 | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | Rashid, Saima/Aaf-7976-2021 | |
| gdc.author.wosid | Noor, Muhammad/Aaf-1238-2019 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Noor, Muhammad/D-8167-2013 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rashid, Saima; Noor, Muhammad Aslam] COMSATS Univ Islamabad, Dept Math, Islamabad 45550, Pakistan; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.issue | 9 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 807 | |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | convex function | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | fractional integrals | |
| gdc.oaire.keywords | generalized Riemann-liouville fractional integrals | |
| gdc.oaire.keywords | exponentially convex function | |
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| gdc.virtual.author | Jarad, Fahd | |
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