New Variants of Quantum Midpoint-Type Inequalities

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dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridBUTT, Saad Ihsan/0000-0001-7192-8269
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidNonlaopon, Kamsing/AAD-4363-2020
dc.authorwosidBUTT, Saad Ihsan/ABF-8243-2020
dc.contributor.authorButt, Saad Ihsan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorNonlaopon, Kamsing
dc.date.accessioned2023-07-26T11:57:24Z
dc.date.available2023-07-26T11:57:24Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractRecently, there has been a strong push toward creating and expanding quadrature inequalities in quantum calculus. In order to investigate various avenues for quantum inquiry, a number of quantum extensions of midpoint estimations are studied. The goal of this research article is to discover novel quantum midpoint-type inequalities that are twice q(xi 2)-differentiable for (alpha,m)-convex functions. Firstly, we obtain novel identity for q(xi 2)-integral by employing quantum calculus tools. Then by using the auxiliary identity, we formulate new bounds by taking into account the known quantum Holder and Power mean inequalities. An example is provided with a graphical representation to show the validity of obtaining results. The outcomes of this study clarify and expand earlier research on midpoint-type inequalities. Analytic inequalities of this type as well as particularly related strategies have applications for various fields where symmetry plays an important role.en_US
dc.description.sponsorshipNational Science, Research and Innovation Fund (NSRF), Thailanden_US
dc.description.sponsorshipThis research has received funding support from the National Science, Research and Innovation Fund (NSRF), Thailand.en_US
dc.identifier.doi10.3390/sym14122599
dc.identifier.issn2073-8994
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85144945988en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym14122599
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13162
dc.identifier.volume14en_US
dc.identifier.wosWOS:000904412100001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
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.snmz$2023V1Guncelleme$en_US
dc.subjectQuantum Derivative; Quantum Integral; Quantum Midpoint Inequalities; (A,M)-Convex Functionsen_US
dc.subjectConvexen_US
dc.titleNew Variants of Quantum Midpoint-Type Inequalitiesen_US
dc.typeArticleen_US

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