On some new inequalities of hermiteÐhadamard midpoint and trapezoid type for preinvex functions in (P, q)-calculus

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dc.contributor.authorIfra Bashir Sial
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorGhulam Murtaza
dc.contributor.authorSotiris K. Ntouyas
dc.contributor.authorJarunee Soontharanon
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceM.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; 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 establish some new HermiteÐHadamard type inequalities for preinvex functions and left-right estimates of newly established inequalities for (p, q)-differentiable preinvex functions in the context of (p, q)-calculus. We also show that the results established in this paper are generalizations of comparable results in the literature of integral inequalities. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationSymmetry
dc.identifier.doi10.3390/sym13101864
dc.identifier.issn20738994
dc.identifier.scopus2-s2.0-85116943945
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4680
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subject(p, q)-integral
dc.subjectConvex function
dc.subjectHermiteÐhadamard inequality
dc.subjectPost quantum calculus
dc.titleOn some new inequalities of hermiteÐhadamard midpoint and trapezoid type for preinvex functions in (P, q)-calculus
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85116943945&doi=10.3390%2fsym13101864&partnerID=40&md5=bd8f0561e294f04dc60f02fc117a9735
oaire.citation.issue10
oaire.citation.volume13
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