Exact Constants In Approximation Theory

Download Exact Constants In Approximation Theory full books in PDF, epub, and Kindle. Read online free Exact Constants In Approximation Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Exact Constants in Approximation Theory

Exact Constants in Approximation Theory
Author :
Publisher : Cambridge University Press
Total Pages : 472
Release :
ISBN-10 : 0521382343
ISBN-13 : 9780521382342
Rating : 4/5 (342 Downloads)

Book Synopsis Exact Constants in Approximation Theory by : Nikolaĭ Pavlovich Korneĭchuk

Download or read book Exact Constants in Approximation Theory written by Nikolaĭ Pavlovich Korneĭchuk and published by Cambridge University Press. This book was released on 1991-06-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a self-contained introduction for non-specialists, or as a reference work for experts, to the particular area of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are closely related to numerical analysis and optimization. The book encompasses a wide range of questions and problems: best approximation by polynomials and splines; linear approximation methods, such as spline-approximation; optimal reconstruction of functions and linear functionals. Many of the results are based on deep facts from analysis and function theory, such as duality theory and comparison theorems; these are presented in chapters 1 and 3. In keeping with the author's intention to make the book as self-contained as possible, chapter 2 contains an introduction to polynomial and spline approximation. Chapters 4 to 7 apply the theory to specific classes of functions. The last chapter deals with n-widths and generalises some of the ideas of the earlier chapters. Each chapter concludes with commentary, exercises and extensions of results. A substantial bibliography is included. Many of the results collected here have not been gathered together in book form before, so it will be essential reading for approximation theorists.


Exact Constants in Approximation Theory Related Books

Exact Constants in Approximation Theory
Language: en
Pages: 472
Authors: Nikolaĭ Pavlovich Korneĭchuk
Categories: Mathematics
Type: BOOK - Published: 1991-06-06 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book is intended as a self-contained introduction for non-specialists, or as a reference work for experts, to the particular area of approximation theory t
Mathematical Constants
Language: en
Pages: 634
Authors: Steven R. Finch
Categories: Mathematics
Type: BOOK - Published: 2003-08-18 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpfu
Approximation Theory and Methods
Language: en
Pages: 356
Authors: M. J. D. Powell
Categories: Mathematics
Type: BOOK - Published: 1981-03-31 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynom
Proceedings of the St. Petersburg Mathematical Society, Volume VIII
Language: en
Pages: 224
Authors: N.N. Uraltseva
Categories: Mathematics
Type: BOOK - Published: 2002-04-02 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The articles in this collection present new results in partial differential equations, numerical analysis, probability theory, and geometry. The results, ideas,
Birkhoff Interpolation
Language: en
Pages: 308
Authors: G. G. Lorentz
Categories: Mathematics
Type: BOOK - Published: 1984-12-28 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an artic