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Convergence of a quadrature formula for variable-signed weight functions
Published online by Cambridge University Press: 17 April 2009
Abstract
A quadrature formula for a variable-signed weight function w(x) is constructed using Hermite interpolating polynomials. We show its mean and quadratic mean convergence. We also discuss the rate of convergence in terms of the modulus of continuity for higher order derivatives with respect to the sup norm.
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- Copyright © Australian Mathematical Society 1998