On discrete Picard operators
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Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley-Blackwell
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present paper is concerned with the approximation properties of discrete version of Picard operators. We first give exact equalities for the moments of the operators. In calculations of these moments, Eulerian numbers play a crucial role. We discuss convergence of these operators in weighted spaces and give Voronovskaya-type asymptotic formula. The weighted approximation of the operators in quantitative mean in terms of different modulus of continuities is also considered. We emphasize that the rate of convergence of the operators is better than the one obtained in . Copyright (c) 2016 John Wiley & Sons, Ltd.
Açıklama
Bascanbaz-Tunca, Gulen/0000-0003-3216-1661;
Anahtar Kelimeler
discrete Picard operator, modulus of continuity, weighted approximation
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
39
Sayı
18
Künye
closedAccess
