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New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes

dc.contributor.authorJarad, Fahd
dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorTreanţă, Savin
dc.contributor.authorEmadifar, Homan
dc.contributor.authorBotmart, Thongchai
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-01-12T11:50:11Z
dc.date.available2024-01-12T11:50:11Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this investigation, we unfold the Jensen–Mercer (J− M) inequality for convex stochastic processes via a new fractional integral operator. The incorporation of convex stochastic processes, the J− M inequality and a fractional integral operator having an exponential kernel brings a new direction to the theory of inequalities. With this in mind, estimations of Hermite–Hadamard–Mercer (H− H− M)-type fractional inequalities involving convex stochastic processes are presented. In the context of the new fractional integral operator, we also investigate a novel identity for differentiable mappings. Then, a new related H− H− M-type inequality is presented using this identity as an auxiliary result. Applications to special means and matrices are also presented. These findings are particularly appealing from the perspective of optimization, as they provide a larger context to analyze optimization and mathematical programming problems.en_US
dc.identifier.citationJarad, Fahd;...et.al. (2023). "New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes", Journal of Inequalities and Applications, Vol.2023, no.1.en_US
dc.identifier.doi10.1186/s13660-023-02944-y
dc.identifier.issn10255834
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6884
dc.identifier.volume2023en_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConvex Stochastic Processen_US
dc.subjectExponential Kernelen_US
dc.subjectFractional Integral Operatoren_US
dc.subjectHermite–Hadamard–Mercer Inequalityen_US
dc.titleNew stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processestr_TR
dc.titleNew Stochastic Fractional Integral and Related Inequalities of Jensen–mercer and Hermite–hadamard–mercer Type for Convex Stochastic Processesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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