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On New Estimates of q-Hermite–Hadamard Inequalities with Applications in Quantum Calculus

dc.contributor.authorChasreechai, Saowaluck
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorAshraf, Muhammad Amir
dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorEtemad, Sina
dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2023-01-24T16:37:41Z
dc.date.available2023-01-24T16:37:41Z
dc.date.issued2023-01-02
dc.identifier.citationAxioms 12(1) : (2023) // Article ID 49es_ES
dc.identifier.issn2075-1680
dc.identifier.urihttp://hdl.handle.net/10810/59453
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.es_ES
dc.description.sponsorshipThis research was funded by Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (No. 5542101).es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectHermite-Hadamard inequalityes_ES
dc.subjectq-integrales_ES
dc.subjectquantum calculuses_ES
dc.subjectconvex functiones_ES
dc.titleOn New Estimates of q-Hermite–Hadamard Inequalities with Applications in Quantum Calculuses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.date.updated2023-01-20T14:22:45Z
dc.rights.holder© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).es_ES
dc.relation.publisherversionhttps://www.mdpi.com/2075-1680/12/1/49es_ES
dc.identifier.doi10.3390/axioms12010049
dc.departamentoesElectricidad y electrónica
dc.departamentoeuElektrizitatea eta elektronika


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© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).
Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).