Some New Simpson's and Newton's Formulas Type Inequalities for Convex Functions in Quantum Calculus

dc.contributor.authorSiricharuanun, Pimchana
dc.contributor.authorErden, Samet
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorChasreechai, Saowaluck
dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorErden, Samet
dc.date.accessioned2025-10-18T10:00:17Z
dc.date.created2021
dc.date.issued2021
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, using the notions of q(kappa 2)-quantum integral and q(kappa 2)-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors.
dc.description.sponsorshipDepartment of Mathematics, Faculty of Science, Kasetsart University - King Mongkut's University of Technology North Bangkok [KMUTNB-64-KNOW-42]
dc.description.sponsorshipThe first author would like to thank the Department of Mathematics, Faculty of Science, Kasetsart University.This research was funded by King Mongkut's University of Technology North Bangkok. Contract no. KMUTNB-64-KNOW-42.
dc.identifier.doi10.3390/math9161992
dc.identifier.issn2227-7390
dc.identifier.issue16
dc.identifier.orcidBudak, Huseyin/0000-0001-8843-955X
dc.identifier.orcidChasreechai, Saowaluck/0009-0008-1414-3324
dc.identifier.orcidSitthiwirattham, Thanin/0000-0002-8455-1402
dc.identifier.orciderden, samet/0000-0001-8430-7533;
dc.identifier.scopus2-s2.0-85113585628
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math9161992
dc.identifier.urihttps://hdl.handle.net/11772/20190
dc.identifier.volume9
dc.identifier.wosWOS:000689358500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWoS_20251016
dc.subjectSimpson's Inequalities
dc.subjectNewton's Inequalities
dc.subjectQuantum Calculus
dc.subjectConvex Functions
dc.titleSome New Simpson's and Newton's Formulas Type Inequalities for Convex Functions in Quantum Calculus
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationf8787a2a-dd28-4b2f-8716-492d9a0b4991
relation.isAuthorOfPublication.latestForDiscoveryf8787a2a-dd28-4b2f-8716-492d9a0b4991

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