ON GAUSS-WEIERSTRASS TYPE INTEGRAL OPERATORS

[ X ]

Tarih

2010

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

Künye