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arXiv · 2104.13731

On exact discretization of the $L_2$-norm with a negative weight

I. V. Limonova
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Abstract

For a subspace $X$ of functions from $L_2$ we consider the minimal number $m$ of nodes necessary for the exact discretization of the $L_2$-norm of the functions in $X$. We construct a subspace such that for any exact discretization with $m$ nodes there is at least one negative weight.

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I. V. Limonova. 2021-04-28. On exact discretization of the $L_2$-norm with a negative weight. https://arxiv.org/abs/2104.13731

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