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Approximation by Bernstein Operators
Key Words
:
Bernstein operators
linear combinations
modulus of smoothness.
Fund Project
:
Author Name
Affiliation
GUO Shun-sheng
Dept. of Math.
Hebei Teacher's University
Shijiazhuang
China
LI CUI-xiang
Dept. of Math.
Hebei Teacher's University
Shijiazhuang
China
QI Qiu-lan
Dept. of Math.
Hebei Teacher's University
Shijiazhuang
China
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:
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Abstract
:
Using the pointwise modulus ω
φ
λ
2r
(f, t), we discuss the approximation theorem for the r order linear combinations of Bernstein-Durrmerer operators. When 1-1/r≤λ≤1, we give an equivalent theorem by ω
φ
λ
Citation:
DOI
:
10.3770/j.issn:1000-341X.2005.04.030
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