Minimal quadratures for functions of low-order continuity-Reference-Cited by-同舟云学术

Minimal quadratures for functions of low-order continuity

Published:1971 Issue:116 Volume:25 Page:831-835
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Johnson L. W.,Riess R. D.

Abstract

An analog of Wilf’s quadrature is developed for functions of low-order continuity. This analog is used to demonstrate that the order of convergence of Wilf’s quadrature is at least 1 / n 1/n .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1971-25-116/S0025-5718-1971-0298940-X/S0025-5718-1971-0298940-X.pdf

Reference7 articles.

1. A new type of Chebyshev quadrature;Barnhill, R. E.;Math. Comp.,1969

2. Einige Eigenschaften Wilfscher Quadraturformeln;Eckhardt, Ulrich;Numer. Math.,1968

3. Chebyshev series method for the numerical solution of Fredholm integral equations;Elliott, David;Comput. J.,1963

4. On the method for numerical integration of Clenshaw and Curtis;Imhof, J. P.;Numer. Math.,1963

5. Error bounds in Gaussian integration of functions of low-order continuity;Rabinowitz, Philip;Math. Comp.,1968

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2. A note on the optimal quadrature inH p;Numerische Mathematik;1984-06

3. Numerical Methods Based on Whittaker Cardinal, or Sinc Functions;SIAM Review;1981-04

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5. Optimal numerical quadrature inH p spaces;Mathematische Zeitschrift;1974-06