Approximation Power of Smooth Bivariate pp (piecewise polynomials) functions.

Abstract

Bivariate piecewise polynomials in C sub rho of degree < or = k on some triangulation delta are shown to approximate to smooth functions to within delta sub k+1 if k > 3rho + 1. The argument makes essential use of the Bernstein-Bezier polynomial form. Keywords: multivariate; splines; degree of approximation.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA180954

Entities

People

  • C. De Boor
  • K. Hollig

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Mathematics
  • Polynomials
  • Triangulation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.