Theory of Approximation
A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential type. The final two chapters explore the best harmonic approximation of functions and Wiener's theorem on approximation. Professor Achieser concludes this exemplary text with an extensive section of problems and applications (elementary extremal problems, Szego's theorem, the Carathéodory-Fejér problem, and more).
"1102898284"
Theory of Approximation
A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential type. The final two chapters explore the best harmonic approximation of functions and Wiener's theorem on approximation. Professor Achieser concludes this exemplary text with an extensive section of problems and applications (elementary extremal problems, Szego's theorem, the Carathéodory-Fejér problem, and more).
37.99 In Stock
Theory of Approximation

Theory of Approximation

by N. I. Achieser
Theory of Approximation

Theory of Approximation

by N. I. Achieser

eBook

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Overview

A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential type. The final two chapters explore the best harmonic approximation of functions and Wiener's theorem on approximation. Professor Achieser concludes this exemplary text with an extensive section of problems and applications (elementary extremal problems, Szego's theorem, the Carathéodory-Fejér problem, and more).

Product Details

ISBN-13: 9780486153131
Publisher: Dover Publications
Publication date: 06/05/2013
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 320
File size: 22 MB
Note: This product may take a few minutes to download.

Table of Contents

1. Approximation Problems in Linear Normalized Spaces
2. P. L. Tchebysheff's Domain of Ideas
3. Elements of Harmonic Analysis
4. Certain Extremal Properties of Integral Transcendental Functions of the Exponential Type
5. Questions Regarding the Best Harmonic Approximation of Functions
6. Various Addenda and Problems
7. Various Addenda and Problems
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