On gauss-weierstrass type integral operators

[ X ]

Tarih

2010

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

Künye