Best Mean Approximation by Splines Satisfying Generalized Convexity Constraints.

Abstract

A characterization of the best L sub 1-approximation to a continuous function by classes of fixed knot polynomial splines which satisfy generalized convexity constraints is presented and uniqueness is shown. Included is the possibility of specifying the positivity, monotonicity, or convexity of the class. The proof of uniqueness uses recently developed results for Hermite-Birkhoff interpolation by splines. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA049421

Entities

People

  • Dennis D. Pence

Organizations

  • University of Wisconsin–Madison

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DTIC Thesaurus Topics

  • Continents
  • Contracts
  • Geographic Regions
  • Interpolation
  • Intervals
  • Linear Algebra
  • Mathematical Analysis
  • Mathematics
  • Military Research
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  • North Carolina
  • Numerical Analysis
  • Polynomials
  • Sequences
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  • Wisconsin

Fields of Study

  • Mathematics

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  • Approximation Theory.
  • Operations Research