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Titlebook: Rational Approximation and Interpolation; Proceedings of the U Peter Russell Graves-Morris,Edward B. Saff,Richard Conference proceedings 19

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Some properties and applications of Chebyshev polynomial and rational approximation,verall context of L. norms (1≤p≤∞), there is a review of the orthogonality and minimality properties of Chebyshev polynomials, the best and near-best approximation properties of Chebyshev series expansions and Chebyshev interpolating polynomials, and the links between Chebyshev series and Fourier an
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On rational approximation of the exponential and the square root function,as recently proved via the approximation on the circle |z|=½ in the complex plane. The same method is now applied to the approximation of the square root function. Here we have a gap between the upper and the lower bound, the amount of which depends on the location of the branch point. To close the
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