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The Computer Journal 1968 11(3):339-340; doi:10.1093/comjnl/11.3.339
© 1968 by British Computer Society
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Asymptotic estimates for the error of the Gauss-Legendre quadrature formula

M. M. Chawla *

Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, India

Estimates for the error of the Gauss-Legendre quadrature are obtained, for large n, by Davis' method employing the double as well as the line integral norms. It is shown that the error estimate derived through the line integral norm is better than that obtained through the double integral norm; in fact, the latter estimate over-estimates the error nearly by a factor of (2n + 1)1/2.

First received March 1968. revised form May 1968.

* Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi-29, India.


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