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

dc.contributor.authorKhan, Muhammad Bilal
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorNoor, Muhammad Aslam
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorGarcia Guirao, Juan Luis
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-01-12T06:49:32Z
dc.date.available2023-01-12T06:49:32Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIt 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.en_US
dc.description.publishedMonth9
dc.identifier.citationKhan, 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.en_US
dc.identifier.doi10.3390/axioms10030175
dc.identifier.issn2075-1680
dc.identifier.issue3en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6047
dc.identifier.volume10en_US
dc.language.isoenen_US
dc.relation.ispartofAxiomsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLR-P-Convex Interval-Valued Functionen_US
dc.subjectKatugampola Fractional Integral Operatoren_US
dc.subjectHermite-Hadamard Type Inequalityen_US
dc.subjectHermite-Hadamard-Fejer Inequalityen_US
dc.titleSome New Fractional Estimates of Inequalities for LR-p-Convex Interval-Valued Functions by Means of Pseudo Order Relationtr_TR
dc.titleSome New Fractional Estimates of Inequalities for Lr-P Interval-Valued Functions by Means of Pseudo Order Relationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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