# SuanShu, a Java numerical and statistical library

com.numericalmethod.suanshu.analysis.integration.univariate.riemann.gaussian

• All Implemented Interfaces:
Integrator

Gauss-Chebyshev Quadrature uses the following weighting function: $w(x) = \frac{1}{\sqrt{1 - x^2}}$ to evaluate integrals in the interval (-1, 1). Therefore, this method can be used for finding the integral $\int_{-1}^{+1} \frac {f(x)} {\sqrt{1 - x^2} }\,dx.$

This results in the evaluation points being roots of Chebyshev polynomials. In this method, both the coefficients and the evaluation points can be calculated directly.