New integral inequalities via generalized preinvex functions

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dc.contributor.authorMuhammad Tariq
dc.contributor.authorAsif Ali Shaikh
dc.contributor.authorSoubhagya Kumar Sahoo
dc.contributor.authorHijaz Ahmad
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.accessioned2025-03-10T07:35:29Z
dc.date.available2025-03-10T07:35:29Z
dc.date.issued2021
dc.description.abstractThe theory of convexity plays an important role in various branches of science and engineering. The objective of this paper is to introduce a new notion of preinvex functions by unifying the n-polynomial preinvex function with the s-type m-preinvex function and to present inequalities of the Hermite-Hadamard type in the setting of the generalized s-type m-preinvex function. First, we give the definition and then investigate some of its algebraic properties and examples. We also present some refinements of the Hermite-Hadamard-type inequality using HšlderÕs integral inequality, the improved power-mean integral inequality, and the Hšlder-__can integral inequality. Finally, some results for special means are deduced. The results established in this paper can be considered as the generalization of many published results of inequalities and convexity theory. © 2021 by the authors.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms10040296
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85120072863
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4716
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectHšlderÕs inequality
dc.subjectImproved power-mean integral inequality
dc.subjectM-preinvex function
dc.subjectPreinvex function
dc.subjectS-type convex function
dc.titleNew integral inequalities via generalized preinvex functions
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85120072863&doi=10.3390%2faxioms10040296&partnerID=40&md5=004be2b19367e86433d0b27697344173
oaire.citation.issue4
oaire.citation.volume10
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