(p, q)-Hermite-Hadamard inequalities and (p, q)-estimates for midpoint type inequalities via convex and quasi-convex functions

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dc.contributor.authorKunt, Mehmet
dc.contributor.authorİşcan, İmdat
dc.contributor.authorAlp, Necmettin
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2020-04-30T22:38:34Z
dc.date.available2020-04-30T22:38:34Z
dc.date.issued2018
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionKunt, Mehmet/0000-0002-8730-5370; iscan, imdat/0000-0001-6749-0591en_US
dc.descriptionWOS: 000445335600005en_US
dc.description.abstractIn this paper, we prove the correct (p, q)-Hermite-Hadamard inequality, some new (p, q)-Hermite-Hadamard inequalities, and generalized (p, q)-Hermite-Hadamard inequality. By using the left hand part of the correct (p, q)-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some (p, q)-midpoint type integral inequalities through (p, q)-differentiable convex and (p, q)-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works.en_US
dc.identifier.doi10.1007/s13398-017-0402-yen_US
dc.identifier.endpage992en_US
dc.identifier.issn1578-7303
dc.identifier.issn1579-1505
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage969en_US
dc.identifier.urihttps://doi.org/10.1007/s13398-017-0402-y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/2266
dc.identifier.volume112en_US
dc.identifier.wosWOS:000445335600005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Italia Srlen_US
dc.relation.ispartofRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectMidpoint type inequalityen_US
dc.subjectq-integral inequalitiesen_US
dc.subject(p, q)-integral inequalitiesen_US
dc.subject(p, q)-derivativeen_US
dc.subject(p, q)-integrationen_US
dc.subjectConvexityen_US
dc.subjectQuasi-convexityen_US
dc.title(p, q)-Hermite-Hadamard inequalities and (p, q)-estimates for midpoint type inequalities via convex and quasi-convex functionsen_US
dc.typeArticleen_US

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