ANZIAM J.
43 (2002), 429447

Calculation of ChakalovPopoviciu quadratures of Radau and Lobatto type

Miodrag M. Spalevic
University of Kragujevac
Faculty of Science
Department of Mathematics and Informatics
P.O. Box 60, 34000 Kragujevac
Serbia, Yugoslavia
spale@knez.uis.kg.ac.yu



Abstract

A numerical method for calculation of the
generalized ChakalovPopoviciu quadrature
formulae of Radau and Lobatto type, using the
results given for the generalized
ChakalovPopoviciu quadrature formula, is given.
Numerical results are included. As an application
we discuss the problem of approximating a
function f on the finite interval
I = [a, b]
by a spline function of degree m and variable defects
, with
n (variable) knots, matching as many of the
initial moments of f
as possible. An analytic formula for the
coefficients in the generalized
ChakalovPopoviciu quadrature formula is given.

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