The saturation class and iterates of the Bernstein polynomials

The saturation class and iterates of the Bernstein polynomials
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DOI:
10.1016/0021-9045(73)90028-2
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发表时间:
1973-05
影响因子:
0.9
通讯作者:
C. Micchelli
C. Micchelli
中科院分区:
数学3区
文献类型:
--
作者:
C. Micchelli

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在[3]中,de Leeuw确定了伯恩斯坦多项式的饱和类.他的结果表明Bnf-f= 0(1/n)当且仅当f 'E Lip 1 on [0,I].这一点后来被G.洛仑兹(Lorentz)[10]到下面。
In [3], de Leeuw identifies the saturation class for the Bernstein polynomials. His result states that Bnf-f= 0 (1/n) if and only if f’E Lip 1 on [0, I]. This was later refined by G. Lorentz [IO] to the following.