Approximation theory. From Taylor polynomials to wavelets
type: Item
instance of: scholarly article
title: Approximation theory. From Taylor polynomials to wavelets
zbMATH Open document ID: 1062.41001
author: Ole Christensen
author: Khadija L. Christensen
published in: Applied and Numerical Harmonic Analysis
publication date: 2004-10-12T00:00:00Z
review text: Approximation methods and wavelets have found many important applications in signal processing. This well-written textbook provides an elementary introduction to approximation theory. The authors are concentrated on the presentation of main ideas and demonstrate the great influence of the classical approximation theory on modern applied mathematics. This book with many illustrative examples is easy to read. It consists of 5 chapters. Chapter 1 presents basic approximation methods with polynomials. After an introduction to infinite series, Chapter 3 is devoted to Fourier series and Fourier transforms. Chapter 4 explains the fundamental questions of wavelet theory and discusses some applications in signal processing. Finally, Chapter 5 presents some mathematical properties of wavelets. This introductory textbook will be very useful for anyone interested in approximation theory and wavelets.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 41-01
Mathematics Subject Classification ID: 42-01
zbMATH DE Number: 2107187
zbMATH Keywords: approximation theory
zbMATH Keywords: Taylor polynomial
zbMATH Keywords: Fourier series
zbMATH Keywords: Fourier transform
zbMATH Keywords: wavelets
zbMATH Keywords: signal processing
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2107187