A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions

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dc.authorscopusid36626202600
dc.authorscopusid57218993985
dc.authorscopusid57199279462
dc.authorscopusid57038541500
dc.authorscopusid55734407000
dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorSial, I.B.
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorReunsumrit, J.
dc.date.accessioned2023-07-26T11:54:01Z
dc.date.available2023-07-26T11:54:01Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this research, we give a new version of Jensen inclusion for interval-valued functions, which is called Jensen-Mercer inclusion. Moreover, we establish some new inclusions of the Hermite-Hadamard-Mercer type for interval-valued functions. Finally, we give some applications of newly established inequalities to make them more interesting for the readers. © 2023, University of Nis. All rights reserved.en_US
dc.description.sponsorshipSuan Dusit University, SDU: N42A650384; National Natural Science Foundation of China, NSFC: 11971241; National Research Council of Thailand, NRCTen_US
dc.description.sponsorship2020 Mathematics Subject Classification. 26D10, 26A51, 26D15. Keywords. Hermite–Hadamard inequality; Jensen-inequality; Convex interval-valued functions. Received: 15 July 2022; Accepted: 21 December 2022 Communicated by Dragan S. Djordjevi? This project is funded by National Research Council of Thailand (NRCT) and Suan Dusit University: N42A650384. This research was also partially supported by National Natural Science Foundation of China 11971241. * Corresponding author: Muhammad Aamir Ali Email addresses: thanin sit@dusit.ac.th (Thanin Sitthiwirattham), ifrabashir92@gmail.com (Ifra Bashir Sial), mahr.muhammad.aamir@gmail.com (Muhammad Aamir Ali), hsyn.budak@gmail.com (Hüseyin Budak), jiraporn.r@sci.kmutnb.ac.th (Jiraporn Reunsumrit)en_US
dc.identifier.doi10.2298/FIL2317553S
dc.identifier.endpage5565en_US
dc.identifier.issn0354-5180
dc.identifier.issue17en_US
dc.identifier.scopus2-s2.0-85150893907en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage5553en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2317553S
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12695
dc.identifier.volume37en_US
dc.identifier.wosWOS:000953989700001en_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 interval-valued functionsen_US
dc.subjectHermite–Hadamard inequalityen_US
dc.subjectJensen-inequalityen_US
dc.titleA new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functionsen_US
dc.typeArticleen_US

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