Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions

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dc.authoridVivas-Cortez, Miguel/0000-0002-1567-0264
dc.authorwosidVivas-Cortez, Miguel/AAC-9992-2019
dc.contributor.authorVivas-Cortez, Miguel
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorKashuri, Artion
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2021-12-01T18:49:53Z
dc.date.available2021-12-01T18:49:53Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer (HHM) type inequalities. We discuss special cases of our main results and give new inequalities of HH and HHM type for different fractional integrals like, Riemann-Liouville (RL) fractional integrals, k-Riemann-Liouville (k-RL) fractional integrals, conformable fractional integrals and fractional integrals of exponential kernel.en_US
dc.description.sponsorshipNational Natural Sciences Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11971241]en_US
dc.description.sponsorshipWe want to give thanks to the Direccion de investigacion from Pontificia Universidad Catolica del Ecuador for technical support to our research project entitled: Algunas desigualdades integrales para funciones convexas generalizadas y aplicaciones. This work is partially supported by National Natural Sciences Foundation of China (Grant No. 11971241) .en_US
dc.identifier.doi10.3934/math.2021546
dc.identifier.endpage9421en_US
dc.identifier.issn2473-6988
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85108365098en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage9397en_US
dc.identifier.urihttps://doi.org/10.3934/math.2021546
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10794
dc.identifier.volume6en_US
dc.identifier.wosWOS:000685892800017en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
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.subjectHermite-Hadamard inequalityen_US
dc.subjectHermite-Hadamard-Mercer inequalityen_US
dc.subjectHolder inequalityen_US
dc.subjectJensen-Mercer inequalityen_US
dc.subjectconvex functionsen_US
dc.subjectfractional integralsen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.titleGeneralizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functionsen_US
dc.typeArticleen_US

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