QuantLib: a free/open-source library for quantitative finance
Reference manual - version 1.40
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GaussChebyshevIntegration Class Reference

Gauss-Chebyshev integration. More...

#include <ql/math/integrals/gaussianquadratures.hpp>

Inheritance diagram for GaussChebyshevIntegration:

Public Member Functions

 GaussChebyshevIntegration (Size n)
Public Member Functions inherited from GaussianQuadrature
 GaussianQuadrature (Size n, const GaussianOrthogonalPolynomial &p)
template<class F>
Real operator() (const F &f) const
Size order () const
const Arrayweights ()
const Arrayx ()

Additional Inherited Members

Protected Attributes inherited from GaussianQuadrature
Array x_
Array w_

Detailed Description

Gauss-Chebyshev integration.

This class performs a 1-dimensional Gauss-Chebyshev integration.

\[\int_{-1}^{1} f(x) \mathrm{d}x \]

The weighting function is

\[ w(x)=(1-x^2)^{-1/2} \]