Monotonicity of quadrature approximations-Reference-Cited by-同舟云学术

Monotonicity of quadrature approximations

Published:1974 Issue:1 Volume:42 Page:251-257
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Newman D. J.

Abstract

For the general quadrature rules of Newton-Cotes we show that the convergence is monotone for the appropriate class of functions. Included are the well-known trapezoidal and Simpson rules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-042-01/S0002-9939-1974-0330865-8/S0002-9939-1974-0330865-8.pdf

Reference3 articles.

1. L. M. Milne-Thompson, Calculus of finite differences, Macmillan, New York, 1933.

2. J. Molluzo, Doctoral Thesis, Yeshiva University, 1972 (unpublished).

3. On the monotone convergence of certain Riemann sums;Szegö, G.;Publ. Math. Debrecen,1961

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