Convergence of generalized sampling series in weighted spaces

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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.accessioned2025-01-21T16:37:12Z
dc.date.available2025-01-21T16:37:12Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces. A rate of convergence by means of weighted moduli of continuity is presented and a quantitative Voronovskaja-type theorem is obtained.
dc.description.sponsorshipFondazione Cassa di Risparmio di Perugia, (FCRP); FCRP; TUBITAK (The Scientific and Technological Research Council of Turkey) 3501-Project [119F263]
dc.description.sponsorshipD. Costarelli has been partially supported within the 2020 GNAMPA-INdAM Project Analisi reale, teoria della misura ed approssimazione per la ricostruzione di immagini, while G. Vinti within the projects: (1) Ricerca di Base 2018 dell'Universita degli Studi di Perugia -Metodi di Teoria dell'Approssimazione, Analisi Reale, 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 Fondazione Cassa di Risparmio di Perugia, (FCRP), 2018 and (3) Metodiche di Imaging non invasivo mediante angiografia OCT sequenziale per lo studio delle Retinopatie degenerative dell'Anziano (M.I.R.A.), funded by FCRP, 2019. The authors T. Acar, O. Alagoz and G. Vinti have been supported within TUBITAK (The Scientific and Technological Research Council of Turkey) 3501-Project 119F263.
dc.identifier.doi10.1515/dema-2022-0014
dc.identifier.endpage162
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85131212096
dc.identifier.scopusqualityQ1
dc.identifier.startpage153
dc.identifier.urihttps://doi.org/10.1515/dema-2022-0014
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24420
dc.identifier.volume55
dc.identifier.wosWOS:000799970300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherDe Gruyter Poland Sp Z O O
dc.relation.ispartofDemonstratio Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectgeneralized sampling operators; weighted spaces; weighted modulus of continuity; Voronovskaja-type theorem; quantitative order of approximation
dc.titleConvergence of generalized sampling series in weighted spaces
dc.typeArticle

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