The Jet of an Interpolant on a Finite Set

Charles Fefferman, Arie Israel

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We study functions F ε Cm(ℝn) having norm less than a given constant M, and agreeing with a given function f on a finite set E. Let Γf(S, M) denote the convex set formed by taking the (m- 1 )jets of all such F at a given finite set S ⊂ ℝn. We provide an efficient algorithm to compute a convex polyhedron Γf(S, M), such that Γf(S, cM) ⊂ Γf(S, M) ⊂ Γf(S, CM), where c and C depend only on m and n.

Original languageEnglish (US)
Pages (from-to)355-360
Number of pages6
JournalRevista Matematica Iberoamericana
Volume27
Issue number1
DOIs
StatePublished - 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Algorithm
  • Interpolation
  • Jet
  • Whitney extension theorem

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