On Direct Estimates and Approximation Results by the Kantorovich Operators in Weighted Grand Lebesgue Spaces

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dc.contributor.authorAydin, Ismail
dc.contributor.authorAkgun, Ramazan
dc.date.accessioned2026-04-25T14:20:35Z
dc.date.available2026-04-25T14:20:35Z
dc.date.issued2026
dc.departmentSinop Üniversitesi
dc.description.abstractWe give some new embeddings results for weighted grand Lebesgue spaces L-omega(p)),delta (Omega), where Omega subset of R-d is a open bounded subset. We also obtain the boundedness of the Kantorovich operator K-n in L-omega(p),delta) [0, 1]. In addition, we establish two direct estimates by K-functionals of the rate of approximation in L-omega(p),delta) [0,1].We generalize the direct estimate inequality in classical Lebesgue spaces L-p [0,1] to L-omega(p),delta)[0,1] using the boundedness of the Hardy-Littlewood maximal operator in L-omega(p),delta) [0,1]. Finally, we obtain similar results in [8] for the spaces L-omega(p),delta) [0,1].
dc.identifier.endpage18
dc.identifier.issn2035-6803
dc.identifier.scopus2-s2.0-105034302991
dc.identifier.scopusqualityN/A
dc.identifier.startpage12
dc.identifier.urihttps://hdl.handle.net/11486/8644
dc.identifier.volume19
dc.identifier.wosWOS:001728284900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPadova Univ Press
dc.relation.ispartofDolomites Research Notes on Approximation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.titleOn Direct Estimates and Approximation Results by the Kantorovich Operators in Weighted Grand Lebesgue Spaces
dc.typeArticle

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