Definition:Three-Point Gauss-Chebyshev Rule
Jump to navigation
Jump to search
Definition
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
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Gaussian integration rule
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Gaussian integration rule