SciPy

numpy.polynomial.chebyshev.chebweight

numpy.polynomial.chebyshev.chebweight(x)[source]

The weight function of the Chebyshev polynomials.

The weight function is 1/\sqrt{1 - x^2} and the interval of integration is [-1, 1]. The Chebyshev polynomials are orthogonal, but not normalized, with respect to this weight function.

Parameters:

x : array_like

Values at which the weight function will be computed.

Returns:

w : ndarray

The weight function at x.

Notes

New in version 1.7.0.