Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. The Newton basis format, with ...

The existence of an asymptotic expansion is proved for the Lebesgue constants associated with the polynomial interpolation at the "extended Chebyshev nodes." This series is quite different from the ...

Of course, it would have to be this way for it to work properly as an interpolating polynomial fitted to the actual data points, but it is worth covering because it also demonstrates the actual ...