On generalizations of trapezoid and Bullen type inequalities based on generalized fractional integrals

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dc.contributor.authorBudak, Hüseyin
dc.contributor.authorErtuğral, Fatma
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBilişik, Özge Nalan
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.contributor.authorNonlaopon, Kamsing
dc.date.accessioned2023-07-26T11:51:22Z
dc.date.available2023-07-26T11:51:22Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we establish an integral identity involving differentiable functions and generalized fractional integrals. Then, using the newly established identity, we prove some new general versions of Bullen and trapezoidal type inequalities for differentiable convex functions. The main benefit of the newly established inequalities is that they can be converted into similar inequalities for classical integrals, Riemann-Liouville fractional integrals, k-Riemann-Liouville fractional integrals, Hadamard fractional integrals, etc. Moreover, the inequalities presented in the paper are extensions of several existing inequalities in the literature.en_US
dc.description.sponsorshipNational Natural Science Foundation of China; [11971241]en_US
dc.description.sponsorshipThis work was partially supported by National Natural Science Foundation of China (No. 11971241) .en_US
dc.identifier.doi10.3934/math.2023094
dc.identifier.endpage1847en_US
dc.identifier.issn2473-6988
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85140204049en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1833en_US
dc.identifier.urihttps://doi.org/10.3934/math.2023094
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12547
dc.identifier.volume8en_US
dc.identifier.wosWOS:000877736600007en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorErtuğral, Fatma
dc.institutionauthorBilişik, Özge Nalan
dc.institutionauthorSarıkaya, Mehmet Zeki
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectHermite-Hadamard Inequality; Fractional Integral Operators; Convex Functionen_US
dc.subjectHadamard-Type Inequalities; Hermite-Hadamard; Differentiable Mappings; Real Numbersen_US
dc.titleOn generalizations of trapezoid and Bullen type inequalities based on generalized fractional integralsen_US
dc.typeArticleen_US

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