The approximation of localized Bernstein polynomials

Authors:
Linsen Xie;Tingfan Xie
Affiliations:
Department of Mathematics, Lishui University, Lishui 323000, Zhejiang Province, People's Republic of China;Department of Mathematics, China Jiliang University, Hangzhou 310000, Zhejiang Province, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 2
Cited 0

Note on operators of Sza´sz-Mirakyan type

Journal of Approximation Theory
Fundamentals of computer aided geometric design

Fundamentals of computer aided geometric design

Quantified Score

Hi-index	0.09

Visualization

Abstract

In the present paper we investigate the approximation of the localized Bernstein polynomials to continuous functions by using the central limit theorem of probability theory. Some new pointwise approximation theorems are obtained.