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Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function

dc.contributor.authorZhou, Shuang-Shuang
dc.contributor.authorRashid, Saima
dc.contributor.authorRauf, Asia
dc.contributor.authorJarad, Fahd
dc.contributor.authorHamed, Y. S.
dc.contributor.authorAbualnaja, Khadijah M.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-04-08T11:58:19Z
dc.date.available2022-04-08T11:58:19Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we propose a new framework of weighted generalized proportional fractional integral operator with respect to a monotone function psi; we develop novel modifications of the aforesaid operator. Moreover, contemplating the so-called operator, we determine several notable weighted Chebyshev and Gruss type inequalities with respect to increasing, positive and monotone functions psi by employing traditional and forthright inequalities. Furthermore, we demonstrate the applications of the new operator with numerous integral inequalities by inducing assumptions on ! and psi verified the superiority of the suggested scheme in terms of e fficiency. Additionally, our consequences have a potential association with the previous results. The computations of the proposed scheme show that the approach is straightforward to apply and computationally very user-friendly and accurate.en_US
dc.identifier.citationZhou, Shuang-Shuang...et al. (2021). "Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function", AIMS Mathematics, Vol. 6, no. 8, pp. 8001-8029.en_US
dc.identifier.doi10.3934/math.2021465
dc.identifier.endpage8029en_US
dc.identifier.issn2473-6988
dc.identifier.issue8en_US
dc.identifier.startpage8001en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5341
dc.identifier.volume6en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectWeighted Generalized Proportional Fractional Integralsen_US
dc.subjectWeighted Chebyshev Inequalityen_US
dc.subjectGruss Type Inequalityen_US
dc.subjectCauchy Schwartz Inequalityen_US
dc.titleEfficient computations for weighted generalized proportional fractional operators with respect to a monotone functiontr_TR
dc.titleEfficient Computations for Weighted Generalized Proportional Fractional Operators With Respect To a Monotone Functionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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