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math.NAMay 1, 2022
8
citations (OpenAlex)
authors
  • Feng Dai
  • Andriy Prymak
institutions
  • University of Alberta
  • University of Manitoba
arXiv abstractPDF
paper

Optimal polynomial meshes exist on any multivariate convex domain

arXiv:2205.14111 · doi:10.1007/s10208-023-09606-x

Abstract

We show that optimal polynomial meshes exist for every convex body in Rd, confirming a conjecture by A. Kroo.

Cited by in corpus (3)

  • Sampling discretization of the uniform norm and applications
  • Approximation of Functions: Optimal Sampling and Complexity
  • Dimension-free discretizations of the uniform norm by small product sets
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