Several integral inequalities of hermiteÐhadamard type related to k-fractional conformable integral operators

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dc.contributor.authorMuhammad Tariq
dc.contributor.authorSoubhagya Kumar Sahoo
dc.contributor.authorHijaz Ahmad
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorJarunee Soontharanon
dc.contributor.correspondenceH. Ahmad; Section of Mathematics, International Telematic University Uninettuno, Roma, Corso Vittorio Emanuele II 39, 00186, Italy; email: f17ppbsi011@uetpeshawar.edu.pk; T. Sitthiwirattham; Mathematics Department, 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.abstractIn this paper, we present some ideas and concepts related to the k-fractional conformable integral operator for convex functions. First, we present a new integral identity correlated with the k-fractional conformable operator for the first-order derivative of a given function. Employing this new identity, the authors have proved some generalized inequalities of HermiteÐHadamard type via HšlderÕs inequality and the power mean inequality. Inequalities have a strong correlation with convex and symmetric convex functions. There exist expansive properties and strong correlations between the symmetric function and various areas of convexity, including convex functions, probability theory, and convex geometry on convex sets because of their fascinating properties in the mathematical sciences. The results of this paper show that the methodology can be directly applied and is computationally easy to use and exact. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationSymmetry
dc.identifier.doi10.3390/sym13101880
dc.identifier.issn20738994
dc.identifier.scopus2-s2.0-85117124575
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4692
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectConformable integral
dc.subjectConvexity
dc.subjectE-beta functions
dc.subjectE-gamma functions
dc.subjectK-fractional conformable integral
dc.subjectK-gamma function
dc.subjectRiemannÐLiouville fractional integral
dc.titleSeveral integral inequalities of hermiteÐhadamard type related to k-fractional conformable integral operators
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85117124575&doi=10.3390%2fsym13101880&partnerID=40&md5=3fbfc7c9a7af7cea234dea3e6b2a3aac
oaire.citation.issue10
oaire.citation.volume13
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