On Polynomial Spline Functions on the Circle 2. Monosplines and Quadrature Formulae

Abstract

The paper is a continuation of MRC Technical Summary Report No. 997. The connection between monosplines and quadrature formulae is used to determine the best quadrature formula for the integral of f(z)dz integrated along the unit circle. The quadrature formula exact for all spline functions is also derived.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0737984

Entities

People

  • Isaac Jacob Schoenberg

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Binomials
  • Coefficients
  • Contracts
  • Equations
  • Fourier Series
  • Identities
  • Inequalities
  • Integrals
  • Mathematics
  • Military Research
  • Polynomials
  • Sequences
  • Step Functions
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  • Wisconsin

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  • Mathematics

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  • Approximation Theory.