Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function

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dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorTariq, Muhammad
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorKodamasingh, Bibhakar
dc.contributor.authorShaikh, Asif Ali
dc.contributor.authorBotmart, Thongchai
dc.contributor.authorEl-Shorbagy, Mohammed A.
dc.date.accessioned2022-10-25T10:48:37Z
dc.date.available2022-10-25T10:48:37Z
dc.date.issued2022en_US
dc.departmentRektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractThe comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a monotonic increasing function. The proposed methodology deals with a new class of convexity and related integral and fractional inequalities. There exists a solid connection between fractional operators and convexity because of its fascinating nature in the numerical sciences. Some special cases have also been discussed, and several already-known inequalities have been recaptured to behave well. Some applications related to special means, q-digamma, modified Bessel functions, and matrices are discussed as well. The aftereffects of the plan show that the methodology can be applied directly and is computationally easy to understand and exact. We believe our findings generalise some well-known results in the literature on s-convexity.en_US
dc.identifier.doi10.3390/fractalfract6010042en_US
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85123784652en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/5376
dc.identifier.urihttps://doi.org/10.3390/fractalfract6010042
dc.identifier.volume6en_US
dc.identifier.wosWOS:000747888100001en_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.subjectConvex functionen_US
dc.subjectFractional integral operatoren_US
dc.subjectHermite–Hadamard inequalityen_US
dc.subjectMatricesen_US
dc.subjectModified Bessel functionsen_US
dc.subjectQ-digamma functionsen_US
dc.subjectSpecial meansen_US
dc.subjectϱ-s-convex functionen_US
dc.titleSome Novel Fractional Integral Inequalities over a New Class of Generalized Convex Functionen_US
dc.typeArticleen_US

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