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Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property

dc.contributor.authorKhan, Zareen A.
dc.contributor.authorRashid, Saima
dc.contributor.authorAshraf, Rehana
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-05-13T11:48:35Z
dc.date.available2022-05-13T11:48:35Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent literature. We provide new generalizations for the third-order differentiability by employing the local fractional technique for functions whose local fractional derivatives in the absolute values are generalized convex and obtain several bounds and new results applicable to convex functions by using the generalized Hölder and power-mean inequalities. As an application, numerous novel cases can be obtained from our outcomes. To ensure the feasibility of the proposed method, we present two examples to verify the method. It should be pointed out that the investigation of our findings in fractal analysis and inequality theory is vital to our perception of the real world since they are more realistic models of natural and man-made phenomena. © 2020, The Author(s).en_US
dc.description.publishedMonth12
dc.identifier.citationKhan, Zareen A...et al. (2020). "Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-03121-x
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5502
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractal Seten_US
dc.subjectGeneralized Convex Functionsen_US
dc.subjectGeneralized Hölder Inequalityen_US
dc.subjectHermite–Hadamard Inequaltyen_US
dc.subjectPower-Mean Inequalityen_US
dc.subjectČebyšev Inequalityen_US
dc.titleGeneralized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity propertytr_TR
dc.titleGeneralized Trapezium-Type Inequalities in the Settings of Fractal Sets for Functions Having Generalized Convexity Propertyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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