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

Numerical Analysis 2021-04-29 v1 Numerical Analysis Functional Analysis

Abstract

For a subspace XX of functions from L2L_2 we consider the minimal number mm of nodes necessary for the exact discretization of the L2L_2-norm of the functions in XX. We construct a subspace such that for any exact discretization with mm nodes there is at least one negative weight.

Keywords

Cite

@article{arxiv.2104.13731,
  title  = {On exact discretization of the $L_2$-norm with a negative weight},
  author = {I. V. Limonova},
  journal= {arXiv preprint arXiv:2104.13731},
  year   = {2021}
}

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6 pages