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Approximation of Periodic Functions
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Authors: Temlyakov, V. N. 
Editors: Vakhania, Niko and Wozniakowski, Henryk (Series Editors)
Book Description:
This book is the first to contain a systematic study of approximations of functions for several variables having a bounded mixed derivative. It turns out that the investigation of these classes of functions is very important. In particular, the results of this book show that the methods which are good for classes of functions with bounded mixed derivatives are universal for anisotropic Sobolev classes. The author gives a treatment of the ideas and methods which have appeared in recent years in the theory of approximation of functions for several variables (including the theory of optimal cubature formulas).

Table of Contents:
Contents: Preface; Chapter Introduction; 1. Spaces Lp and some inequalities; 2. Duality in Lp spaces; 3. Fourier series of functions in Lp; Chapter l. Approximation of functions of one variable; Chapter 2. Approximation of functions of several variables in the Sobolev and Nikol’skii classes; Chapter 3. Approximation of functions with bounded mixed derivative or difference; Chapter 4. Cubature formulas and recovery of periodic functions of several variables; Remarks; Bibliography; Some notations.

      Computational Mathematics and Analysis
   Binding: Hardcover
   ISBN: 1-56072-131-6
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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Approximation of Periodic Functions