On Semi-Cardinal Quadrature Formulae.

Abstract

The present paper concerns the semi-cardinal quadrature formulae introduced in a previous paper. These were the limiting forms of Sard's best quadrature formulae as the number of nodes increases indefinitely. Here the authors give a new derivation and characterization of these formulae. This derivation uses appropriate generating functions and also allows to compute the coefficients very accurately. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0756344

Entities

People

  • Isaac Jacob Schoenberg
  • S. D. Silliman

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis