Random points are optimal for the approximation of sobolev functions

HIGHLIGHTS

  • who: David, Krieg and Mathias, Sonnleitner from the DepartmentKepler University Austria have published the paper: Random points are optimal for the approximation of Sobolev functions, in the Journal: (JOURNAL) of 16/Oct/2020
  • what: The authors show that independent and uniformly distributed sampling points are asymptotically as good as optimal sampling points for the approximation of functions from Sobolev spaces Wps (u03a9) on bounded arbitrary sampling point sets P u2282 u03a9 via the Lu03b3 (u03a9)-norm of the distance function dist(u00b7 P) where on the covering radius of P. In the paper Krieg et_al . . .

     

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