Constructive Approximation: Advanced Problems

✍ Scribed by George G. Lorentz, Manfred v. Golitschek, Yuly Makovoz

Publisher: Springer
Year: 1996
Tongue: English
Leaves: 665
Series: Grundlehren der mathematischen Wissenschaften
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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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