Constructive approximation: advanced problems

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Springer, 1996 - Mathematics - 649 pages
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This and the earlier book by R.A. DeVore and G.G. Lorentz (Vol. 303 of the same series), cover the whole field of approximation of functions of one real variable. The main subject of this volume is approximation by polynomials, rational functions, splines and operators. There are excursions into the related fields: interpolation, complex variable approximation, wavelets, widths, and functional analysis. Emphasis is on basic results, illustrative examples, rather than on generality or special problems. A graduate student can learn the subject from different chapters of the books; for a researcher they can serve as an introduction; for applied researchers a selection of tools for their endeavours.

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Contents

Problems of Polynomial Approximation
1
Distribution of Alternation Points of Polynomials of Best Approximation
4
3 Distribution of Zeros of Polynomials of Best Approximation
11
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