On some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

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dc.authorscopusid57199279462
dc.authorscopusid57038541500
dc.authorscopusid7004253438
dc.authorscopusid55757520400
dc.authorscopusid36626202600
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorFe?kan, M.
dc.contributor.authorPatanarapeelert, N.
dc.contributor.authorSitthiwirattham, Thanin
dc.date.accessioned2023-07-26T11:54:02Z
dc.date.available2023-07-26T11:54:02Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several Newton’s type inequalities for differentiable convex functions and functions of bounded variation. Moreover, we give a mathematical example and graphical analysis of newly established inequalities to show their validity. © 2023, University of Nis. All rights reserved.en_US
dc.description.sponsorship1/0084/23, 2/0127/20; National Natural Science Foundation of China, NSFC: 11971241; Agentúra na Podporu V?skumu a V?voja, APVV: APVV-18-0308; King Mongkut's University of Technology North Bangkok, KMUTNB: KMUTNB-FF-65-49en_US
dc.description.sponsorship2020 Mathematics Subject Classification. 26D10, 26A51, 26D15. Keywords. Simpson’s 83 formula; Fractional Calculus; Convex Functions. Received: 21 Feburary 2022; Accepted: 24 August 2022 Communicated by Hari M. Srivastava This research was funded by National Science, Research and Innovation Fund (NSRF), and King Mongkut’s University of Technology North Bangkok with Contract no. KMUTNB-FF-65-49, the Slovak Research and Development Agency under the contract No. APVV-18-0308, and by the Slovak Grant Agency VEGA No. 1/0084/23 and No. 2/0127/20, the National Natural Science Foundation of China with Grant No. 11971241 was also partially supported. Email addresses: mahr.muhammad.aamir@gmail.com (Muhammad Aamir Ali), hsyn.budak@gmail.com (Hüseyin Budak), michal.feckan@fmph.uniba.sk ( Michal Fec?kan), nichaphat.p@sci.kmutnb.ac.th (Nichaphat Patanarapeelert ), thanin sit@dusit.ac.th (Thanin Sitthiwirattham )en_US
dc.identifier.doi10.2298/FIL2311427A
dc.identifier.endpage3441en_US
dc.identifier.issn0354-5180
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-85149725883en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3427en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2311427A
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12702
dc.identifier.volume37en_US
dc.identifier.wosWOS:000965678200008en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherUniversity of Nisen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectConvex Functionsen_US
dc.subjectFractional Calculusen_US
dc.subjectSimpson’s 3/8 formulaen_US
dc.titleOn some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integralsen_US
dc.typeArticleen_US

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