A Comprehensive Analysis of Hermite-Hadamard Type Inequalities via Generalized Preinvex Functions

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dc.authoridSitthiwirattham, Thanin/0000-0002-8455-1402
dc.authoridSAHOO, SOUBHAGYA KUMAR/0000-0003-4524-1951
dc.authoridAhmad, Hijaz/0000-0002-5438-5407
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidTariq, Muhammad/AFB-8576-2022
dc.authorwosidSitthiwirattham, Thanin/Q-4043-2019
dc.authorwosidAhmad, Hijaz/H-5958-2018
dc.authorwosidSAHOO, SOUBHAGYA KUMAR/GPT-3087-2022
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.contributor.authorTariq, Muhammad
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorReunsumrit, Jiraporn
dc.date.accessioned2023-07-26T11:51:25Z
dc.date.available2023-07-26T11:51:25Z
dc.date.issued2021
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe principal objective of this article is to introduce the idea of a new class of n-polynomial convex functions which we call n-polynomial s-type m-preinvex function. We establish a new variant of the well-known Hermite-Hadamard inequality in the mode of the newly introduced concept. To add more insight into the newly introduced concept, we have discussed some algebraic properties and examples as well. Besides, we discuss a few new exceptional cases for the derived results, which make us realize that the results of this paper are the speculations and expansions of some recently known outcomes. The immeasurable concepts and chasmic tools of this paper may invigorate and revitalize additional research in this mesmerizing and absorbing field.en_US
dc.description.sponsorshipNational Science, Research and Innovation Fund (NSRF); King Mongkut's University of Technology North Bangkok [KMUTNB-FF-65-49]en_US
dc.description.sponsorshipThis 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.en_US
dc.identifier.doi10.3390/axioms10040328
dc.identifier.issn2075-1680
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85121627292en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.3390/axioms10040328
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12556
dc.identifier.volume10en_US
dc.identifier.wosWOS:000742038600001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofAxiomsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectS-Type Convex Function; Preinvex Function; M-Preinvex Function; Holder's Inequality; Holder-Iscan Inequality; Power-Mean Integral Inequality; Improved Power-Mean Integral Inequalityen_US
dc.subjectIntegral-Inequalitiesen_US
dc.titleA Comprehensive Analysis of Hermite-Hadamard Type Inequalities via Generalized Preinvex Functionsen_US
dc.typeArticleen_US

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