NDLI: On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives

Content Provider	Scilit
Author	Ioakimidis, N. I.
Copyright Year	1985
Description	The convergence of the aforementioned quadrature rules for integrands possessing Holder-continuous derivatives of an appropriate order is proved to be uniform and not only pointwise. The rate of convergence is also established and an application to the numerical solution of singular integral equations is made.
Related Links	https://www.ams.org/mcom/1985-44-169/S0025-5718-1985-0771040-8/S0025-5718-1985-0771040-8.pdf
Ending Page	198
Page Count	8
Starting Page	191
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2007802
Journal	Mathematics of Computation
Issue Number	169
Volume Number	44
Language	English
Publisher	Duke University Press
Publisher Date	1985-01-01
Access Restriction	Open
Subject Keyword	Mathematical Physics Convergence Uniform Quadrature Cauchy Pointwise Made Integrands Singular Aforementioned Holder
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives