Convergence of Abstract Splines.

Abstract

A sufficient condition is given for the convergence of abstract splines. We show that his condition is not necessary but that a slight perturbation of his condition is both necessary and sufficient. In the process, we also give a necessary and sufficient condition for a sequence of abstract spline projectors to be bounded.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA079734

Entities

People

  • Carl R. de Boor

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Computer Science
  • Convergence
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Numerical Analysis
  • Perturbations
  • Sequences
  • Smoothing (Mathematics)
  • Triangles
  • United States
  • Wisconsin

Fields of Study

  • Economics
  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.