The Jet of an Interpolant on a Finite Set

  • Charles Fefferman

    Princeton University, United States
  • Arie Israel

    University of Texas at Austin, USA

Abstract

We study functions having norm less than a given constant , and agreeing with a given function on a finite set . Let denote the convex set formed by taking the -jets of all such at a given finite set . We provide an efficient algorithm to compute a convex polyhedron , such that $$ \Gamma_f (S,cM) \subset \tilde{\Gamma}_f (S,M) \subset \Gamma_f (S,CM), cCmn$.

Cite this article

Charles Fefferman, Arie Israel, The Jet of an Interpolant on a Finite Set. Rev. Mat. Iberoam. 27 (2011), no. 1, pp. 355–360

DOI 10.4171/RMI/639