On New Estimates of q-HermiteÐHadamard Inequalities with Applications in Quantum Calculus

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dc.contributor.authorSaowaluck Chasreechai
dc.contributor.authorMuhammad Aamir Ali
dc.contributor.authorMuhammad Amir Ashraf
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorSina Etemad
dc.contributor.authorManuel De la Sen
dc.contributor.authorShahram Rezapour
dc.contributor.correspondenceS. Etemad; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, 3751-71379, Iran; email: sina.etemad@azaruniv.ac.ir; S. Rezapour; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, 3751-71379, Iran; email: sh.rezapour@azaruniv.ac.ir; M.D.L. Sen; Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country (UPV/EHU), Leioa, Bizkaia, 48940, Spain; email: manuel.delasen@ehu.eus
dc.date.accessioned2025-03-10T07:34:45Z
dc.date.available2025-03-10T07:34:45Z
dc.date.issued2023
dc.description.abstractIn this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard inequality (involving left and right integrals proved by Bermudo et al.) under q-differentiable convex functions. Finally, we provide some examples to illustrate the validity of newly obtained quantum inequalities. © 2023 by the authors.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms12010049
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85146743539
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4575
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.rights.holderScopus
dc.subjectconvex function
dc.subjectHermite-Hadamard inequality
dc.subjectq-integral
dc.subjectquantum calculus
dc.titleOn New Estimates of q-HermiteÐHadamard Inequalities with Applications in Quantum Calculus
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85146743539&doi=10.3390%2faxioms12010049&partnerID=40&md5=b9244fe593129fdafb8e068fbaf1a990
oaire.citation.issue1
oaire.citation.volume12
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