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Convergence of a quadrature formula for variable-signed weight functions

Published online by Cambridge University Press:  17 April 2009

H.S. Jung  and
K.H. Kwon
H.S. Jung
Affiliation:
Department of MathematicsKAIST373–1 Kusong-dong, Yusong-kuTaejon 305–701Korea e-mail: [email protected]
K.H. Kwon
Affiliation:
Department of MathematicsKAIST373–1 Kusong-dong, Yusong-kuTaejon 305–701Korea e-mail: [email protected]
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 2 , April 1998 , pp. 275 - 288
Copyright
Copyright © Australian Mathematical Society 1998

References

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