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Generation of new fractional inequalities via n polynomials s-type convexity with applications

dc.contributor.authorRashid, Saima
dc.contributor.authorIscan, Imdat
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-07T11:41:24Z
dc.date.available2021-01-07T11:41:24Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe celebrated Hermite-Hadamard and Ostrowski type inequalities have been studied extensively since they have been established. We find novel versions of the Hermite-Hadamard and Ostrowski type inequalities for the n-polynomial s-type convex functions in the frame of fractional calculus. Taking into account the new concept, we derive some generalizations that capture novel results under investigation. We present two different general techniques, for the functions whose first and second derivatives in absolute value at certain powers are n-polynomial s-type convex functions by employing K-fractional integral operators have yielded intriguing results. Applications and motivations of presented results are briefly discussed that generate novel variants related to quadrature rules that will be helpful for in-depth investigation in fractal theory, optimization and machine learning.en_US
dc.description.publishedMonth5
dc.identifier.citationRashid, Saima...et al. (2020). "Generation of new fractional inequalities via n polynomials s-type convexity with applications", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02720-y
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4441
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvex Functionen_US
dc.subjectS-Type Convex Functionen_US
dc.subjectHermite-Hadamard Inequalityen_US
dc.subjectOstrowski Inequalityen_US
dc.subjectHigher Degree Polynomial S-Convexen_US
dc.titleGeneration of new fractional inequalities via n polynomials s-type convexity with applicationstr_TR
dc.titleGeneration of New Fractional Inequalities Via N Polynomials S-Type Convexity With Applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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