Convergence of generalized sampling series in weighted spaces
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Poland Sp Z O O
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The 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.
Açıklama
Anahtar Kelimeler
generalized sampling operators; weighted spaces; weighted modulus of continuity; Voronovskaja-type theorem; quantitative order of approximation
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
55
Sayı
1
