Fractal Hadamard-Mercer-Type inequalities with applications

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dc.contributor.authorButt, Saad Ihsan
dc.contributor.authorYousaf, Saba
dc.contributor.authorYounas, Muhammad
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorYao, Shao-Wen
dc.date.accessioned2023-02-14T11:28:48Z
dc.date.available2023-02-14T11:28:48Z
dc.date.issued2022en_US
dc.departmentRektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractFractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard-Mercer-type inequalities on fractal sets R? (0 < ? ? 1) by employing generalized convex function. We establish two new lemmas involving local fractional integrals. By using these lemmas, we obtain several results related to generalized Hadamard-Mercer-type integral inequalities for local differentiable generalized convex functions on real linear fractal space. Finally, we give applications for probability density functions and compute new generalized means.en_US
dc.identifier.doi10.1142/S0218348X22400552en_US
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85123900281en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/6221
dc.identifier.urihttps://doi.org/10.1142/S0218348X22400552
dc.identifier.volume30en_US
dc.identifier.wosWOS:000776872300036en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofFractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractal Space; Generalized Convex Function; Generalized Hermite-Hadamard Inequality; Jensen-Mercer Inequality; Local Fractional Derivative; Local Fractional Integralen_US
dc.titleFractal Hadamard-Mercer-Type inequalities with applicationsen_US
dc.typeArticleen_US

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