A Class of Local Explicit Many-Knot Spline Interpolation Schemes.

Abstract

The purpose of this paper is to present a new local explicit method for an approximation of real-valued functions defined on intervals. The operators of the form Qf = sum over (lambda sub i) (f/q sub i,k) are studied under a uniform mesh, where (q sub i,k) comes from a linear combination of B-splines. This paper contains the definition of (q sub i,k), comments on its existence, proof of reproduction of the operator Q for appropriate classes of polynomials, and a note about some applications. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA103851

Entities

People

  • D. X. Qi

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Continents
  • Curve Fitting
  • Geographic Regions
  • Identities
  • Interpolation
  • Mathematics
  • Military Research
  • North America
  • North Carolina
  • Polynomials
  • Sequences
  • Symmetry
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Statistical inference.