Chebyshev-Gauss Quadrature

Also called Chebyshev Quadrature. A Gaussian Quadrature over the interval with Weighting Function. The Abscissas for quadrature order are given by the roots of theChebyshev Polynomial of the First Kind , which occursymmetrically about 0. The Weights are

(1)

(2)

(3)

(4)

(5)

(6)

(7)

			(8)
			(9)

(10)

(11)

(12)

2	± 0.707107	1.5708
3	0	1.0472
	± 0.866025	1.0472
4	± 0.382683	0.785398
	± 0.92388	0.785398
5	0	0.628319
	± 0.587785	0.628319
	± 0.951057	0.628319

Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, pp. 330-331, 1956.

• Prime Power Symbol
• Primequad
• Prime Quadratic Effect
• Prime Quadruplet
• Prime Representation
• Prime Ring
• Prime Sequence
• Prime Spiral
• Prime String
• Prime Sum
• Prime Theta Function
• Prime Triangle
• Prime Unit
• Prime Zeta Function
• Primitive Abundant Number
• Primitive Function
• Primitive Irreducible Polynomial
• Primitive Polynomial Modulo 2
• Primitive Prime Factor
• Primitive Pseudoperfect Number
• Primitive Recursive Function
• Primitive Root
• Primitive Root of Unity
• Primitive Semiperfect Number
• Primitive Sequence