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New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating h-Convex Functions in Hilbert Space

dc.contributor.authorRashid, Saima
dc.contributor.authorKalsoom, Humaira
dc.contributor.authorHammouch, Zakia
dc.contributor.authorAshraf, Rehana
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-03T12:13:33Z
dc.date.available2021-02-03T12:13:33Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn Hilbert space, we develop a novel framework to study for two new classes of convex function depending on arbitrary non-negative function, which is called a predominating PLANCK CONSTANT OVER TWO PI-convex function and predominating quasiconvex function, with respect to eta, are presented. To ensure the symmetry of data segmentation and with the discussion of special cases, it is shown that these classes capture other classes of eta-convex functions, eta-quasiconvex functions, strongly PLANCK CONSTANT OVER TWO PI-convex functions of higher-order and strongly quasiconvex functions of a higher order, etc. Meanwhile, an auxiliary result is proved in the sense of kappa-fractional integral operator to generate novel variants related to the Hermite-Hadamard type for pth-order differentiability. It is hoped that this research study will open new doors for in-depth investigation in convexity theory frameworks of a varying nature.en_US
dc.description.publishedMonth2
dc.identifier.citationRashid, Saima...et al. (2020). "New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating h-Convex Functions in Hilbert Space", Symmetry-Basel, Vol. 12, No. 2.en_US
dc.identifier.doi10.3390/sym12020222
dc.identifier.issn2073-8994
dc.identifier.issue2en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4535
dc.identifier.volume12en_US
dc.language.isoenen_US
dc.relation.ispartofSymmetry-Baselen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvex Functionen_US
dc.subjectEta-Convex Functionsen_US
dc.subjectPredominating Convex Functionsen_US
dc.subjectHermite-Hadamard Inequalityen_US
dc.subjectPredominating Eta-Quasiconvex Functionsen_US
dc.titleNew Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating h-Convex Functions in Hilbert Spacetr_TR
dc.titleNew Multi-Parametrized Estimates Having Pth-Order Differentiability in Fractional Calculus for Predominating H-Convex Functions in Hilbert Spaceen_US
dc.typeArticleen_US
dspace.entity.typePublication

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