A comprehensive analysis of hermiteÐhadamard type inequalities via generalized preinvex functions

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dc.contributor.authorMuhammad Tariq
dc.contributor.authorHijaz Ahmad
dc.contributor.authorHŸseyin Budak
dc.contributor.authorSoubhagya Kumar Sahoo
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorJiraporn Reunsumrit
dc.contributor.correspondenceT. Sitthiwirattham; Department of Mathematics, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:28Z
dc.date.available2025-03-10T07:35:28Z
dc.date.issued2021
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 HermiteÐHadamard 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. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms10040328
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85121627292
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4699
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectHšlderÐêscan inequality
dc.subjectHšlderÕs inequality
dc.subjectImproved power-mean integral inequality
dc.subjectM-preinvex function
dc.subjectPower-mean integral inequality
dc.subjectPreinvex function
dc.subjectS-type convex function
dc.titleA comprehensive analysis of hermiteÐhadamard type inequalities via generalized preinvex functions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85121627292&doi=10.3390%2faxioms10040328&partnerID=40&md5=326099d52c9675e153300b66098cdf81
oaire.citation.issue4
oaire.citation.volume10
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