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

04/28/2021

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by   I. V. Limonova, et al.

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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.