Lebesgue constants for the weak greedy algorithm

被引:0
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作者
S. J. Dilworth
D. Kutzarova
T. Oikhberg
机构
[1] University of South Carolina,Department of Mathematics
[2] Bulgarian Academy of Sciences,Institute of Mathematics
[3] University of Illinois,Department of Mathematics
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关键词
Weak greedy algorithm; Biorthogonal system; Markushevitch basis; Lebesgue constant; Primary 46B15; Secondary 41A30; 41A65; 46A35;
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摘要
We estimate the Lebesgue constants for the weak thresholding greedy algorithm in a Banach space relative to a biorthogonal system. The estimates involve the weakness (relaxation) parameter of the algorithm, as well as properties of the basis, such as its quasi-greedy constant and democracy function.
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页码:393 / 409
页数:16
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