On a new approach in the space of measurable functions

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dc.authoridAral, Ali/0000-0002-2024-8607
dc.contributor.authorAral, Ali
dc.date.accessioned2025-01-21T16:33:44Z
dc.date.available2025-01-21T16:33:44Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we present a new modulus of continuity for locally integrable function spaces which is effected by the natural structure of the Lp space. After basic properties of it are expressed, we provide a quantitative type theorem for the rate of convergence of convolution type integral operators and iterates of them. Moreover, we state their global smoothness preservation property including the new modulus of continuity. Finally, the obtained results are performed to the Gauss-Weierstrass operators.
dc.identifier.doi10.33205/cma.1381787
dc.identifier.endpage248
dc.identifier.issn2651-2939
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85180119023
dc.identifier.scopusqualityQ2
dc.identifier.startpage237
dc.identifier.trdizinid1211373
dc.identifier.urihttps://doi.org/10.33205/cma.1381787
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay1211373
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23848
dc.identifier.volume6
dc.identifier.wosWOS:001172644300004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherTuncer Acar
dc.relation.ispartofConstructive Mathematical Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectConvolution type integral operators; measurable functions; weighted modulus of continuity.
dc.titleOn a new approach in the space of measurable functions
dc.typeArticle

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