Bivariate Spline Functions and the Approximation of Linear Functionals.

Abstract

The reproducing kernel for a Hilbert space of bivariate functions which have Taylor expansions is constructed. The concepts of optimal approximation of linear functionals in the sense of Sard and approximations resulting from bivariate spline functions are shown to be equivalent in these spaces. Bivariate splines that both smooth and interpolate are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 10, 1973
Accession Number
AD0764145

Entities

People

  • Gregory M. Nielson

Organizations

  • Arizona State University

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Functional Analysis
  • Hilbert Space
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.

Technology Areas

  • Space