Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals

dc.contributor.authorYou, Xue-Xiao
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2021-12-01T18:50:46Z
dc.date.available2021-12-01T18:50:46Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn the paper, the authors establish some new Hermite-Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite-Hadamard inequality for harmonically convex functions via generalized fractional integrals without using the harmonic convexity property for the functions. The results offered here are the refinements of the existing results for harmonically convex functions.en_US
dc.description.sponsorshipNatural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]; Philosophy and Social Sciences of Educational Commission of Hubei Province of China [20Y109]en_US
dc.description.sponsorshipThe work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971241) and Philosophy and Social Sciences of Educational Commission of Hubei Province of China (Grant No. 20Y109).en_US
dc.identifier.doi10.1186/s13660-021-02638-3
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85107539083en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-021-02638-3
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10923
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000658751900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal Of Inequalities And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHarmonically convex functionsen_US
dc.subjectGeneralized fractional integralsen_US
dc.subjectHermite-Hadamard inequalitiesen_US
dc.titleExtensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integralsen_US
dc.typeArticleen_US

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