Definition:Gauss-Chebyshev Rule

Definition

Three-Point Gauss-Chebyshev Rule

The three-point Gauss-Chebyshev rule is a Gaussian integration rule of the form:

$\ds \int_{-1}^1 \dfrac {\map f x} {\sqrt {1 - x^2} } \rd x \approx \dfrac 1 3 \pi \paren {\map f {-\dfrac {\sqrt 3} 2} + \map f 0 + \map f {\dfrac {\sqrt 3} 2} }$

Also see

• Results about Gauss-Chebyshev rules can be found here.

Source of Name

This entry was named for Carl Friedrich Gauss and Pafnuty Lvovich Chebyshev.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Gauss-Chebyshev rule