ON GAUSS-WEIERSTRASS TYPE INTEGRAL OPERATORS
[ X ]
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sciendo
Erişim Hakkı
info:eu-repo/semantics/openAccess
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
Açıklama
Anahtar Kelimeler
Gauss-Weierstrass operators; weighted approximation; q-exponential functions; q-derivative; q-integral
Kaynak
Demonstratio Mathematica
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
43
Sayı
4