Interpolation by linear programming i

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Abstract

Given m; n ≥ 2 and ε > 0, we compute a function taking pre-scribed values at N given points of ℝn, and having Cm norm as small as possible up to a factor 1 + ε. Our computation reduces matters to a linear programming problem.

Original languageEnglish (US)
Pages (from-to)477-492
Number of pages16
JournalDiscrete and Continuous Dynamical Systems
Volume30
Issue number2
DOIs
StatePublished - Jun 2011

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Keywords

  • Interpolation
  • Linear programming

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