Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242
dc.authorwosidZhao, Dafang/AAC-3583-2021
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020
dc.contributor.authorZhao, Dafang
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorKashuri, Artion
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2021-12-01T18:50:32Z
dc.date.available2021-12-01T18:50:32Z
dc.date.issued2020
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we establish inequalities of Hermite-Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained results (Iscan in Hacet. J. Math. Stat. 43(6):935-942, 2014 and Iscan and Wu in Appl. Math. Comput. 238:237-244, 2014). We also discuss some special cases for our main results and obtain new inequalities of Hermite-Hadamard type.en_US
dc.description.sponsorshipSpecial Soft Science Research Projects of Technological Innovation in Hubei Province [2019ADC46]; Fundamental Research Funds for Central UniversitiesFundamental Research Funds for the Central Universities [2019B44914]; Key Projects of Education Commission of Hubie Province of China [D20192501]; Natural Science Foundation of Jiangsu ProvinceNatural Science Foundation of Jiangsu Province [BK20180500]; National Key Research and Development Program of China [2018YFC1508100]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971241]en_US
dc.description.sponsorshipThis work was supported in part by Special Soft Science Research Projects of Technological Innovation in Hubei Province (2019ADC46), the Fundamental Research Funds for Central Universities (2019B44914), Key Projects of Education Commission of Hubie Province of China (D20192501), the Natural Science Foundation of Jiangsu Province (BK20180500), the National Key Research and Development Program of China (2018YFC1508100) and partially supported by the National Natural Science Foundation of China (11971241).en_US
dc.identifier.doi10.1186/s13662-020-02589-x
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85082574423en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1186/s13662-020-02589-x
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10891
dc.identifier.volume2020en_US
dc.identifier.wosWOS:000522451500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofAdvances In Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalitiesen_US
dc.subjectGeneralized fractional integralen_US
dc.subjectHarmonically convex functionsen_US
dc.titleGeneralized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functionsen_US
dc.typeArticleen_US

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