Accession Number:

ADA180954

Title:

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

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• De Boor,C.
• Hollig,K.

Report Date:

1987-02-01

Pagination or Media Count:

26.0

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 k1 if k 3rho 1. The argument makes essential use of the Bernstein-Bezier polynomial form. Keywords multivariate splines degree of approximation.

Descriptors:

• *BIVARIATE ANALYSIS
• SPLINES(GEOMETRY)
• BANACH SPACE
• APPROXIMATION(MATHEMATICS)
• FUNCTIONS(MATHEMATICS)
• POLYNOMIALS
• TRIANGULATION
• POWER

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE