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NEW MULTI-FUNCTIONAL APPROACH for κ TH-ORDER DIFFERENTIABILITY GOVERNED by FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ?) -CONVEX FUNCTIONS in HILBERT SPACE

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dc.contributor.author Wang, Miao-Kun
dc.contributor.author Rashid, Saima
dc.contributor.author Karaca, Yeliz
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Chu, Yu-Ming
dc.date.accessioned 2022-07-07T11:46:11Z
dc.date.available 2022-07-07T11:46:11Z
dc.date.issued 2021-08
dc.identifier.citation Wang, Miao-Kun...et al. (2021). "NEW MULTI-FUNCTIONAL APPROACH for κ TH-ORDER DIFFERENTIABILITY GOVERNED by FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ?) -CONVEX FUNCTIONS in HILBERT SPACE", Fractals, Vol. 29, No. 5. tr_TR
dc.identifier.issn 0218-348X
dc.identifier.uri http://hdl.handle.net/20.500.12416/5725
dc.description.abstract This work addresses several novel classes of convex function involving arbitrary non-negative function, which is known as approximately generalized (ψ, ?)-convex and approximately ψ-quasiconvex function, with respect to Raina's function, which are elaborated in Hilbert space. To ensure the feasibility of the proposed concept and with the discussion of special cases, it is presented that these classes generate other classes of generalized (ψ, ?)-convex functions such as higher-order strongly (HOS) generalized (ψ, ?)-convex functions and HOS generalized ψ-quasiconvex function. The core of the proposed method is a newly developed Simpson's type of identity in the settings of Riemann-Liouville fractional integral operator. Based on the HOS generalized (ψ, ?)-convex function representation, we established several theorems and related novel consequences. The presented results demonstrate better performance for HOS generalized ψ-quasiconvex functions where we can generate several other novel classes for convex functions that exist in the relative literature. Accordingly, the assortment in this study aims at presenting a direction in the related fields. © 2021 The Author(s). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0218348X21400193 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Breckner-Type Function tr_TR
dc.subject Convex Functions tr_TR
dc.subject Generalized (ψ, ?) -Convex Functions tr_TR
dc.subject Godunova-Levin-Type Function tr_TR
dc.subject Raina's Function tr_TR
dc.subject κ -th Order Differentiability tr_TR
dc.title NEW MULTI-FUNCTIONAL APPROACH for κ TH-ORDER DIFFERENTIABILITY GOVERNED by FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ?) -CONVEX FUNCTIONS in HILBERT SPACE tr_TR
dc.type article tr_TR
dc.relation.journal Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 29 tr_TR
dc.identifier.issue 5 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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