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Function values are enough for L_2-approximation: Part Ⅱ

机译：Function values are enough for L_2-approximation: Part Ⅱ

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In the first part we have shown that, for L-2-approximation of functions from a separable Hilbert space in the worst-case setting, linear algorithms based on function values are almost as powerful as arbitrary linear algorithms if the linear widths are square-summable. That is, they achieve the same polynomial rate of convergence. In this sequel, we prove a similar result for separable Banach spaces and other classes of functions. (C) 2021 The Author(s). Published by Elsevier Inc.

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