q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions
dc.contributor.author | Alp, Necmettin | |
dc.contributor.author | Sarıkaya, Mehmet Zeki | |
dc.contributor.author | Kunt, Mehmet | |
dc.contributor.author | İşcan, İmdat | |
dc.date.accessioned | 2020-04-30T23:31:33Z | |
dc.date.available | 2020-04-30T23:31:33Z | |
dc.date.issued | 2018 | |
dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description | iscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370 | en_US |
dc.description | WOS: 000429915900008 | en_US |
dc.description.abstract | In this paper, we prove the correct q-Hermite-Hadamard inequality, some new q-Hermite-Hadamard inequalities, and generalized q-Hermite-Hadamard inequality. By using the left hand part of the correct q-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some q-midpoint type integral inequalities through q-differentiable convex and q-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works. (C) 2016 The Authors. Production and hosting by Elsevier B.V. | en_US |
dc.identifier.doi | 10.1016/j.jksus.2016.09.007 | en_US |
dc.identifier.endpage | 203 | en_US |
dc.identifier.issn | 1018-3647 | |
dc.identifier.issn | 2213-686X | |
dc.identifier.issue | 2 | en_US |
dc.identifier.scopusquality | Q1 | en_US |
dc.identifier.startpage | 193 | en_US |
dc.identifier.uri | https://doi.org/10.1016/j.jksus.2016.09.007 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12684/4291 | |
dc.identifier.volume | 30 | en_US |
dc.identifier.wos | WOS:000429915900008 | en_US |
dc.identifier.wosquality | Q2 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Science Bv | en_US |
dc.relation.ispartof | Journal Of King Saud University Science | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Hermite-Hadamard inequality | en_US |
dc.subject | Midpoint type inequality | en_US |
dc.subject | q-Integral inequalities | en_US |
dc.subject | q-Derivative | en_US |
dc.subject | q-Integration | en_US |
dc.subject | Convexity | en_US |
dc.subject | Quasi-convexity | en_US |
dc.title | q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions | en_US |
dc.type | Article | en_US |
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