Positivity of the weights of extended Clenshaw-Curtis quadrature rules-Reference-Cited by-同舟云学术

Positivity of the weights of extended Clenshaw-Curtis quadrature rules

Published:1993 Issue:202 Volume:60 Page:719-734
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Hasegawa Takemitsu,Sugiura Hirosi,Torii Tatsuo

Abstract

We prove that some extended Clenshaw-Curtis quadrature rules have all weights positive. We also present extended Filippi rules of open type having all weights positive. Conjectures on the possibility of other positive quadrature rules embedded in Clenshaw-Curtis or Filippi rule are suggested.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1993-60-202/S0025-5718-1993-1176710-2/S0025-5718-1993-1176710-2.pdf

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