On gauss-weierstrass type integral operators
[ X ]
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter de Gruyter GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a generalization of Gauss-Weierstrass operators based on q-integers using the q-integral and we call them q-Gauss-Weierstrass integral operators. For these operators, we obtain a convergence property in a weighted function space using Korovkin theory. Then we estimate the rate of convergence of these operators in terms of a weighted modulus of continuity. We also prove optimal global smoothness preservation property of these operators. © 2010 Warsaw University. All rights reserved.
Açıklama
Anahtar Kelimeler
Gauss-Weierstrass operators, Q-derivative, Q-integral, Qexponential functions, Weighted approximation
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
43
Sayı
4