numpy.polynomial.chebyshev.chebweight
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numpy.polynomial.chebyshev.chebweight(x)[source] -
The weight function of the Chebyshev polynomials.
The weight function is
and the interval of integration is ![[-1, 1]](data:image/svg+xml;base64,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)
. The Chebyshev polynomials are orthogonal, but not normalized, with respect to this weight function.- Parameters
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xarray_like -
Values at which the weight function will be computed.
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- Returns
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wndarray -
The weight function at
x.
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Notes
New in version 1.7.0.
© 2005–2020 NumPy Developers
Licensed under the 3-clause BSD License.
https://numpy.org/doc/1.18/reference/generated/numpy.polynomial.chebyshev.chebweight.html