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From Gaussian Quadrature to Chebyshev Quadrature

  1. Aug 14, 2012 #1
    Hi,

    I'm studying about Chebyshev Quadrature and i found so little and confused information about this.
    I dont know if Gauss-Chebyshev Quadrature is the same of Chebyshev Quadrature.
    The only good information that i found was from Wolfram:

    http://mathworld.wolfram.com/ChebyshevQuadrature.html

    And there is write Chebyshev Quadrature is a simplification of Gaussian quadrature. So here is my question: How can i simplify from Gaussian Quadrature to Chebyshev Quadrature?
     
  2. jcsd
  3. Aug 18, 2012 #2

    Stephen Tashi

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    You ask an interesting question about terminology. I don't know the answer, but I think it would help to state the question explicitly rather than expecting readers to follow links.

    The Wikipedia article on Gaussian Quadrature states:


    The question is whether that definition is equivalent to the one on the Wolfram site which defines Chebyshev Quadrature as:

    I had to do the LaTex manually instead of a straight cut-and-past. I hope I haven't introduced any typos.
     
  4. Aug 18, 2012 #3

    Stephen Tashi

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  5. Aug 20, 2012 #4
    Thanks Stephen Tashi.

    Finally i found the proof. Chebyshev quadrature is really hard to find because always when you google it other similar topics appears. So the book i found this information is: Introduction to Numerical Analysis - F. B. Hildebrand
     
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