Approximation by sampling Kantorovich series in weighted spaces of functions

Basit Öğe Kaydı
dc.authoridTurgay, Metin/0000-0002-1953-1069
dc.contributor.authorAcar, Tuncer
dc.contributor.authorAlagoz, Osman
dc.contributor.authorAral, Ali
dc.contributor.authorCostarelli, Danilo
dc.contributor.authorTurgay, Metin
dc.contributor.authorVinti, Gianluca
dc.date.accessioned2025-01-21T16:33:19Z
dc.date.available2025-01-21T16:33:19Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThis paper studies the convergence of the so-called sampling Kantorovich operators for functions belonging to weighted spaces of continuous functions. This setting allows us to establish uniform convergence results for functions that are not necessarily uniformly continuous and bounded on R. In that context we also prove quantitative estimates for the rate of convergence of the family of the above operators in terms of weighted modulus of continuity. Finally, pointwise convergence results in quantitative form by means of Voronovskaja type theorems have been also established.
dc.description.sponsorshipFondazione Cassa di Risparmio di Perugia (FCRP); FCRP; Scientific and Technological Research Council of Turkey (TUBITAK) [3501, 119F263]
dc.description.sponsorshipD. Costarelli and G. Vinti have been partially supported within the project Metodiche di Imaging non invasivo mediante angiografia OCT sequenziale per lo studio delle Retinopatie degenerative dell'Anziano (M.I.R.A.), funded by Fondazione Cassa di Risparmio di Perugia (FCRP) 2019. Further, G. Vinti has been also partially supported by the projects: (1) Ricerca di Base 2019 dell'Universita degli Studi di Perugia -Integrazione, Approssimazione, Analisi Nonlineare e loro Applicazioni, (2) Metodi e processi innovativi per lo sviluppo di una banca di immagini mediche per fini diagnostici funded by the FCRP, 2018. T. Acar, O. Alagoz, M. Turgay, and G. Vinti have been supported by the Scientific and Technological Research Council of Turkey (TUBITAK) (3501-Project 119F263).
dc.identifier.doi10.55730/1300-0098.3293
dc.identifier.endpage2676
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85138629517
dc.identifier.scopusqualityQ2
dc.identifier.startpage2663
dc.identifier.trdizinid1142870
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3293
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay1142870
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23779
dc.identifier.volume46
dc.identifier.wosWOS:000888592500007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectGeneralized sampling series; sampling Kantorovich operators; pointwise and uniform convergence; weighted approximation; asymptotic formulas
dc.titleApproximation by sampling Kantorovich series in weighted spaces of functions
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu