On semicardinal quadrature formulae

Abstract

The present paper concerns the semicardinal quadrature formulae introduced in Part III of the reference [3]. These were the limiting forms of Sard’s best quadrature formulae as the number of nodes increases indefinitely. Here we give a new derivation and characterization of these formulae. This derivation uses appropriate generating functions and also allows us to compute the coefficients very accurately.

Identifiers

DOI

10.1090/s0025-5718-1974-0341825-3

Citations and references