Quantitative type theorems in the space of locally integrable functions

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dc.authoridOzsarac, Firat/0000-0001-7170-9613
dc.contributor.authorAral, Ali
dc.contributor.authorOzsarac, Firat
dc.contributor.authorYilmaz, Basar
dc.date.accessioned2025-01-21T16:43:52Z
dc.date.available2025-01-21T16:43:52Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this work, we introduce a new modulus of continuity for locally integrable function spaces which is influenced by the natural structure of the L-p space. After basic properties of it are given, we obtain a quantitative type theorem for the rate of convergence of convolution type integral operators and iterates of them. Their global smoothness preservation property involving the new modulus of continuity is presented. Finally, the obtained results are applied to Gauss-Weierstrass operators.
dc.identifier.doi10.1007/s11117-022-00926-w
dc.identifier.issn1385-1292
dc.identifier.issn1572-9281
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85132993561
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s11117-022-00926-w
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25350
dc.identifier.volume26
dc.identifier.wosWOS:000815636100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofPositivity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectQuantitative theorems; Locally integrable function space; Weighted modulus of continuity
dc.titleQuantitative type theorems in the space of locally integrable functions
dc.typeArticle

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