Weighted fractional inequalities for new conditions on h-convex functions

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dc.authoridBenaissa, Bouharket/0000-0002-1195-6169;en_US
dc.authorscopusid57205103028en_US
dc.authorscopusid57003026500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBenaissa, Bouharket/AAG-1181-2021en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorBenaissa, Bouharket
dc.contributor.authorAzzouz, Noureddine
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:04:04Z
dc.date.available2024-08-23T16:04:04Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractWe use a new function class called B-function to establish a novel version of Hermite-Hadamard inequality for weighted psi-Hilfer operators. Additionally, we prove two new identities involving weighted psi-Hilfer operators for differentiable functions. Moreover, by employing these equalities and the properties of the B-function, we derive several trapezoid- and midpoint-type inequalities for h-convex functions. Furthermore, the obtained results are reduced to several well-known and some new inequalities by making specific choices of the function h.en_US
dc.identifier.doi10.1186/s13661-024-01889-5
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85196173634en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01889-5
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14053
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001250539700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional conformable integralsen_US
dc.subjectFractional conformable derivativeen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectHermite-Hadamarden_US
dc.subjectIntegralsen_US
dc.titleWeighted fractional inequalities for new conditions on h-convex functionsen_US
dc.typeArticleen_US

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