Splines with Non-Negative B-Spline Coefficients,

Abstract

The authors consider the question of the approximation of non-negative functions by non-negative splines of order k (degree <k) compared with approximation by that subclass of non-negative splines of order k consisting of all those whose B-spline coefficients are non-negative; while approximation by the former gives errors of order R sub K), the latter may yield only (h sup 2). These results are related to certain facts about quasi-interpolants. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0758694

Entities

People

  • C. De Boor
  • James W. Daniel

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Coefficients
  • Continents
  • Cooperation
  • Geographic Regions
  • Group Dynamics
  • Military Research
  • North America
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra