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