Convergence of generalized sampling series in weighted spaces
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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
Scopus Q Değeri
Cilt
55
Sayı
1
