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CLC number: O174.41
On-line Access: 2024-08-27
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Weighted approximation of functions with singularities by Bernstein operators
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Bao-rong WEI, Yi ZHAO. Weighted approximation of functions with singularities by Bernstein operators[J]. Journal of Zhejiang University Science A, 2008, 9(10): 1451-1456.
@article{title="Weighted approximation of functions with singularities by Bernstein operators",
author="Bao-rong WEI, Yi ZHAO",
journal="Journal of Zhejiang University Science A",
volume="9",
number="10",
pages="1451-1456",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820015"
}
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T1 - Weighted approximation of functions with singularities by Bernstein operators
A1 - Bao-rong WEI
A1 - Yi ZHAO
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EP - 1456
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820015
Abstract: As an important type of polynomial approximation, approximation of functions by bernstein operators is an important topic in approximation theory and computational theory. This paper gives global and pointwise estimates for weighted approximation of functions with singularities by bernstein operators. The main results are the Jackson’s estimates of functions f∈(Ww,λ)2 and f∈Cw, which extends the result of (Della Vecchia et al., 2004).
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