Generalization of quantum calculus and corresponding Hermite-Hadamard inequalities

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dc.authorscopusid57214806770en_US
dc.authorscopusid56232278500en_US
dc.authorscopusid57038541500en_US
dc.contributor.authorAkbar, Saira Bano
dc.contributor.authorAbbas, Mujahid
dc.contributor.authorBudak, Hueseyin
dc.date.accessioned2024-08-23T16:07:03Z
dc.date.available2024-08-23T16:07:03Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called (phi-h) integrals and (phi-h) derivatives, respectively. Then we investigate some implicit integral inequalities for (phi-h) integrals. Different classes of convex functions are used to prove these inequalities for symmetric functions. Under certain assumptions, Hermite-Hadamard-type inequalities for q-integrals are deduced. The results presented herein are applicable to convex, m-convex, and & hstrok;-convex functions defined on the non-negative part of the real line.en_US
dc.description.sponsorshipDuzce Universityen_US
dc.description.sponsorshipNo Statement AvailableDAS:No datasets were generated or analysed during the current study.en_US
dc.identifier.doi10.1007/s13324-024-00960-9
dc.identifier.issn1664-2368
dc.identifier.issn1664-235X
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85200469774en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s13324-024-00960-9
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14451
dc.identifier.volume14en_US
dc.identifier.wosWOS:001285292800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAnalysis and Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(phi-h)-derivativeen_US
dc.subjectJensen inequalityen_US
dc.subjectm-convex functionen_US
dc.subjectHermite Hadamard Inequalityen_US
dc.subjectHermite Hadamard Inequalityen_US
dc.subject(phi-h)-integralJensen inequalityen_US
dc.subject& hstrok;-convexfunctionen_US
dc.titleGeneralization of quantum calculus and corresponding Hermite-Hadamard inequalitiesen_US
dc.typeArticleen_US

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