Constructive Approximation Advanced Problems

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Constructive Approximation Advanced Problems

Constructive Approximation: Advanced Problems (Grundlehren der mathematischen Wissenschaften, Book 304) by George G. Lorentz, Manfred v. Golitschek and Yuly Makovoz
English | 1996 | ISBN: 3540570284 | ISBN-13: 9783540570288 | 649 pages | PDF | 9 MB

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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