Chebyshev–Gauss quadrature

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

In numerical analysis Chebyshev–Gauss quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following kind:

and

In the first case

where

and the weight

[1]

In the second case

where

and the weight

[2]

See also[edit]

References[edit]

  1. ^ Abramowitz, M & Stegun, I A, Handbook of Mathematical Functions, 10th printing with corrections (1972), Dover, ISBN 978-0-486-61272-0. Equation 25.4.38.
  2. ^ Abramowitz, M & Stegun, I A, Handbook of Mathematical Functions, 10th printing with corrections (1972), Dover, ISBN 978-0-486-61272-0. Equation 25.4.40.

External links[edit]