Simpson's and Newton's Type Inequalities for (alpha, m)-Convex Functions via Quantum Calculus

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dc.authoridAli, Muhammad/0000-0002-1444-7888
dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authorwosidAli, Muhammad/GXH-4405-2022
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.authorwosidali, muhammad/GYR-3505-2022
dc.authorwosidAli, Muhammad Aamir/AAA-1831-2022
dc.contributor.authorSoontharanon, Jarunee
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorAbdullah, Zoya
dc.date.accessioned2023-07-26T11:51:32Z
dc.date.available2023-07-26T11:51:32Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we give the generalized version of the quantum Simpson's and quantum Newton's formula type inequalities via quantum differentiable (alpha, m)-convex functions. The main advantage of these new inequalities is that they can be converted into quantum Simpson and quantum Newton for convex functions, Simpson's type inequalities (alpha, m)-convex function, and Simpson's type inequalities without proving each separately. These inequalities can be helpful in finding the error bounds of Simpson's and Newton's formulas in numerical integration. 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.sponsorshipKing Mongkut's University of Technology North Bangkok [KMUTNB-64-KNOW-36]en_US
dc.description.sponsorshipThis research was funded by King Mongkut's University of Technology North Bangkok. Contract No. KMUTNB-64-KNOW-36.en_US
dc.identifier.doi10.3390/sym14040736
dc.identifier.issn2073-8994
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85128618759en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym14040736
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12579
dc.identifier.volume14en_US
dc.identifier.wosWOS:000785244700001en_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.subjectSimpson's Inequalities; Newton's Inequalities; Quantum Calculus; (Alpha, M)-Convex Functionsen_US
dc.subjectHermite-Hadamard Inequalities; Convexen_US
dc.titleSimpson's and Newton's Type Inequalities for (alpha, m)-Convex Functions via Quantum Calculusen_US
dc.typeArticleen_US

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