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This is documentation for an old release of NumPy (version 1.19). Read this page Search for this page in the documentation of the latest stable release (version 2.2).

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

xarray_like: Values at which the weight function will be computed.

Returns

wndarray: The weight function at x.

Notes

New in version 1.7.0.