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Constructive Approximation

1996-05-14 Mathematics
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Release : 1996-05-14
Genre : Mathematics
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Book Rating : /5 ( reviews)

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Book Synopsis Constructive Approximation by : George G. Lorentz

Download or read book Constructive Approximation written by George G. Lorentz. This book was released on 1996-05-14. Available in PDF, EPUB and Kindle. Book excerpt: In the last 30 years, Approximation Theory has undergone wonderful develop ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G. G. Lorentz, "Approximation of Functions." Soon after 1980, R. A. DeVore and Lorentz joined forces for this purpose. The outcome has been their "Constructive Approximation" (1993), volume 303 of this series. References to this book are given as, for example rCA, p.201]. Later, M. v. Golitschek and Y. Makovoz joined Lorentz to produce the present book, as a continuation of the first. Completeness has not been our goal. In some of the theories, our exposition offers a selection of important, representative theorems, some other cases are treated more systematically. As in the first book, we treat only approximation of functions of one real variable. Thus, functions of several variables, complex approximation or interpolation are not treated, although complex variable methods appear often.

Constructive Approximation

1996 Mathematics
Download Constructive Approximation PDF Online Free

Author :
Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 329/5 ( reviews)

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Book Synopsis Constructive Approximation by : George G. Lorentz

Download or read book Constructive Approximation written by George G. Lorentz. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: In the last 30 years, Approximation Theory has undergone wonderful develop ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G. G. Lorentz, "Approximation of Functions." Soon after 1980, R. A. DeVore and Lorentz joined forces for this purpose. The outcome has been their "Constructive Approximation" (1993), volume 303 of this series. References to this book are given as, for example rCA, p.201]. Later, M. v. Golitschek and Y. Makovoz joined Lorentz to produce the present book, as a continuation of the first. Completeness has not been our goal. In some of the theories, our exposition offers a selection of important, representative theorems, some other cases are treated more systematically. As in the first book, we treat only approximation of functions of one real variable. Thus, functions of several variables, complex approximation or interpolation are not treated, although complex variable methods appear often.

Advanced Problems in Constructive Approximation

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 009/5 ( reviews)

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Book Synopsis Advanced Problems in Constructive Approximation by : Martin D. Buhmann

Download or read book Advanced Problems in Constructive Approximation written by Martin D. Buhmann. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The current form of modern approximation theory is shaped by many new de velopments which are the subject of this series of conferences. The International Meetings on Approximation Theory attempt to keep track in particular of fun damental advances in the theory of function approximation, for example by (or thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others. This includes both approxima tion order and error estimates, as well as constructions of function systems for approximation of functions on Euclidean spaces and spheres. It is a piece of very good fortune that at all of the IDoMAT meetings, col leagues and friends from all over Europe, and indeed some count ries outside Europe and as far away as China, New Zealand, South Africa and U.S.A. came and dis cussed mathematics at IDoMAT conference facility in Witten-Bommerholz. The conference was, as always, held in a friendly and congenial atmosphere. After each meeting, the delegat es were invited to contribute to the proceed ing's volume, the previous one being published in the same Birkhäuser series as this one. The editors were pleased about the quality of the contributions which could be solicited for the book. They are refereed and we should mention our gratitude to the referees and their work.

Constructive Approximation

2013-12-14 Mathematics
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Release : 2013-12-14
Genre : Mathematics
Kind : eBook
Book Rating : 865/5 ( reviews)

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Book Synopsis Constructive Approximation by : Michael F. Barnsley

Download or read book Constructive Approximation written by Michael F. Barnsley. This book was released on 2013-12-14. Available in PDF, EPUB and Kindle. Book excerpt:

Constructive Approximation

1993-11-04 Mathematics
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Release : 1993-11-04
Genre : Mathematics
Kind : eBook
Book Rating : 270/5 ( reviews)

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Book Synopsis Constructive Approximation by : Ronald A. DeVore

Download or read book Constructive Approximation written by Ronald A. DeVore. This book was released on 1993-11-04. Available in PDF, EPUB and Kindle. Book excerpt: Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.

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