A new generalization of some quantum integral inequalities for quantum differentiable convex functions

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dc.authorwosidAbbas, Mujahid/N-7652-2015
dc.contributor.authorLi, Yi-Xia
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.contributor.authorAbbas, Mujahid
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2021-12-01T18:50:49Z
dc.date.available2021-12-01T18:50:49Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite-Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the literature on Hermite-Hadamard inequalities. Several inequalities, such as the midpoint-like integral inequality, the Simpson-like integral inequality, the averaged midpoint-trapezoid-like integral inequality, and the trapezoid-like integral inequality, are obtained as special cases of our main results.en_US
dc.description.sponsorshipNatural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]en_US
dc.description.sponsorshipThe work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971241).en_US
dc.identifier.doi10.1186/s13662-021-03382-0
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85105001243en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-021-03382-0
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10930
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000646075900002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_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&#8211en_US
dc.subjectHadamard inequalityen_US
dc.subjectTrapezoid inequalitiesen_US
dc.subjectMidpoint inequalitiesen_US
dc.subjectQuantum calculusen_US
dc.subjectConvex functionsen_US
dc.subjectHermite-Hadamard Inequalitiesen_US
dc.titleA new generalization of some quantum integral inequalities for quantum differentiable convex functionsen_US
dc.typeArticleen_US

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