orthax.chebyshev.chebweight

orthax.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.