New Study on the Quantum Midpoint-Type Inequalities for Twice q-Differentiable Functions via the Jensen-Mercer Inequality

Basit Öğe Kaydı
dc.authoridButt, Saad Ihsan/0000-0001-7192-8269en_US
dc.authoridUmar, Muhammad/0000-0001-9911-1111en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid55253111500en_US
dc.authorscopusid57203870179en_US
dc.authorscopusid57038541500en_US
dc.authorwosidButt, Saad Ihsan/ITT-3431-2023en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorButt, Saad Ihsan
dc.contributor.authorUmar, Muhammad
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2024-08-23T16:03:36Z
dc.date.available2024-08-23T16:03:36Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe objective of this study is to identify novel quantum midpoint-type inequalities for twice q-differentiable functions by utilizing Mercer's approach. We introduce a new auxiliary variant of the quantum Mercer midpoint-type identity related to twice q-differentiable functions. By applying the theory of convex functions to this identity, we introduce new bounds using well-known inequalities, such as Holder's inequality and power-mean inequality. We provide explicit examples along with graphical demonstrations. The findings of this study explain previous studies on midpoint-type inequalities. Analytic inequalities of this type, as well as related strategies, have applications in various fields where symmetry plays an important role.en_US
dc.identifier.doi10.3390/sym15051038
dc.identifier.issn2073-8994
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85160545213en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym15051038
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13802
dc.identifier.volume15en_US
dc.identifier.wosWOS:000997794300001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectquantum calculusen_US
dc.subjectconvex functionsen_US
dc.subjectmidpoint inequalitiesen_US
dc.subjectJensen-Mercer inequalityen_US
dc.subjectRefinementsen_US
dc.subjectConvexen_US
dc.titleNew Study on the Quantum Midpoint-Type Inequalities for Twice q-Differentiable Functions via the Jensen-Mercer Inequalityen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu