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Some New Fractional Estimates of Inequalities for LR-p-Convex Interval-Valued Functions by Means of Pseudo Order Relation

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dc.contributor.author Khan, Muhammad Bilal
dc.contributor.author Mohammed, Pshtiwan Othman
dc.contributor.author Noor, Muhammad Aslam
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Garcia Guirao, Juan Luis
dc.date.accessioned 2023-01-12T06:49:32Z
dc.date.available 2023-01-12T06:49:32Z
dc.date.issued 2021-09
dc.identifier.citation Khan, Muhammad Bilal...et al. (2021). "Some New Fractional Estimates of Inequalities for LR-p-Convex Interval-Valued Functions by Means of Pseudo Order Relation", Axioms, Vol. 10, No. 3. tr_TR
dc.identifier.issn 2075-1680
dc.identifier.uri http://hdl.handle.net/20.500.12416/6047
dc.description.abstract It is a familiar fact that interval analysis provides tools to deal with data uncertainty. In general, interval analysis is typically used to deal with the models whose data are composed of inaccuracies that may occur from certain kinds of measurements. In interval analysis, both the inclusion relation (subset of) and pseudo order relation (<= p) are two different concepts. In this article, by using pseudo order relation, we introduce the new class of nonconvex functions known as LR-p-convex interval-valued functions (LR-p-convex-IVFs). With the help of this relation, we establish a strong relationship between LR-p-convex-IVFs and Hermite-Hadamard type inequalities (HH-type inequalities) via Katugampola fractional integral operator. Moreover, we have shown that our results include a wide class of new and known inequalities for LR-p-convex-IVFs and their variant forms as special cases. Useful examples that demonstrate the applicability of the theory proposed in this study are given. The concepts and techniques of this paper may be a starting point for further research in this area. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3390/axioms10030175 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject LR-P-Convex Interval-Valued Function tr_TR
dc.subject Katugampola Fractional Integral Operator tr_TR
dc.subject Hermite-Hadamard Type Inequality tr_TR
dc.subject Hermite-Hadamard-Fejer Inequality tr_TR
dc.title Some New Fractional Estimates of Inequalities for LR-p-Convex Interval-Valued Functions by Means of Pseudo Order Relation tr_TR
dc.type article tr_TR
dc.relation.journal Axioms tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 10 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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