On sampling discretization in $L_2$

Irina Limonova; Vladimir Temlyakov

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arXiv · 2009.10789

On sampling discretization in $L_2$

Irina Limonova·Vladimir Temlyakov

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Abstract

We prove a sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality with an upper bound on the number of sampling points of the order of the dimension of the subspace

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Irina Limonova, Vladimir Temlyakov. 2020-09-22. On sampling discretization in $L_2$. https://arxiv.org/abs/2009.10789

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