Advances in Ostrowski-Mercer Like Inequalities within Fractal Space

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dc.authoridVivas-Cortez, Miguel/0000-0002-1567-0264en_US
dc.authoridAwan, Muhammad Uzair/0000-0002-1019-9485en_US
dc.authoridJaved, Muhammad Zakria/0000-0001-5212-6252en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid57192417272en_US
dc.authorscopusid56018634500en_US
dc.authorscopusid57947937500en_US
dc.authorscopusid57221781447en_US
dc.authorscopusid57038541500en_US
dc.authorwosidVivas-Cortez, Miguel/AAC-9992-2019en_US
dc.authorwosidAwan, Muhammad Uzair/O-2382-2015en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidJaved, Muhammad Zakria/KXR-4163-2024en_US
dc.contributor.authorVivas-Cortez, Miguel
dc.contributor.authorAwan, Muhammad Uzair
dc.contributor.authorAsif, Usama
dc.contributor.authorJaved, Muhammad Zakria
dc.contributor.authorBudak, Hueseyin
dc.date.accessioned2024-08-23T16:03:37Z
dc.date.available2024-08-23T16:03:37Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe main idea of the current investigation is to explore some new aspects of Ostrowski's type integral inequalities implementing the generalized Jensen-Mercer inequality established for generalized s-convexity in fractal space. To proceed further with this task, we construct a new generalized integral equality for first-order local differentiable functions, which will serve as an auxiliary result to restore some new bounds for Ostrowski inequality. We establish our desired results by employing the equality, some renowned generalized integral inequalities like Holder's, power mean, Yang-Holder's, bounded characteristics of the functions and considering generalized s-convexity characteristics of functions. Also, in support of our main findings, we deliver specific applications to means, and numerical integration and graphical visualization are also presented here.en_US
dc.description.sponsorshipThe authors are thankful to the editor and the anonymous reviewers for their valuable comments and suggestions.en_US
dc.description.sponsorshipThe authors are thankful to the editor and the anonymous reviewers for their valuable comments and suggestions.en_US
dc.identifier.doi10.3390/fractalfract7090689
dc.identifier.issn2504-3110
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85172216251en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7090689
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13820
dc.identifier.volume7en_US
dc.identifier.wosWOS:001079108400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectconvexen_US
dc.subjectJensen-Merceren_US
dc.subjectOstrowskien_US
dc.subjectfractalen_US
dc.subjectinequalitiesen_US
dc.subjectmeansen_US
dc.subjectFractional Integral-Inequalitiesen_US
dc.subjectHarmonically Convex-Functionsen_US
dc.subjectHadamard-Type Inequalitiesen_US
dc.titleAdvances in Ostrowski-Mercer Like Inequalities within Fractal Spaceen_US
dc.typeArticleen_US

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