Accession Number : AD0756344

Title :   On Semi-Cardinal Quadrature Formulae.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Schoenberg,I. J. ; Silliman,S. D.

Report Date : JAN 1973

Pagination or Media Count : 38

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)

Descriptors :   (*INTERPOLATION, FUNCTIONS(MATHEMATICS)), POLYNOMIALS, POWER SERIES, INTEGRALS, NUMERICAL ANALYSIS, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE