Theory Of Approximation Of Functions Of A Real Variable
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Theory Of Approximation Of Functions Of A Real Variable
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Author : A. F. Timan
language : en
Publisher: Elsevier
Release Date : 2014-07-22
Theory Of Approximation Of Functions Of A Real Variable written by A. F. Timan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties. This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials. The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.
Theory Approximation Functions Of A Real Variable
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Author : Aleksandr Filippovich Timan
language : en
Publisher: Pergamon
Release Date : 1963
Theory Approximation Functions Of A Real Variable written by Aleksandr Filippovich Timan and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Functions of real variables categories.
Approximation Of Functions
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Author : G. G. Lorentz
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Approximation Of Functions written by G. G. Lorentz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This is an easily accessible book on the approximation of functions--simple and without unnecessary details, but complete enough to include the main results of the theory. Except for a few sections, only functions of a real variable are treated. This work can be used as a textbook for graduate or advanced undergraduate courses or for self-study. Included in the volume are Notes at the end of each chapter, Problems, and a selected Bibliography.
An Introduction To The Approximation Of Functions
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Author : Theodore J. Rivlin
language : en
Publisher: Courier Corporation
Release Date : 1981-01-01
An Introduction To The Approximation Of Functions written by Theodore J. Rivlin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
Mathematics of Computing -- Numerical Analysis.
Theory Of Approximation Of Functions Of A Real Variable
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Author : Michael Bassey
language : en
Publisher:
Release Date : 1963
Theory Of Approximation Of Functions Of A Real Variable written by Michael Bassey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
The Theory Of Approximation
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Author : Dunham Jackson
language : en
Publisher: American Mathematical Soc.
Release Date : 1930-12-31
The Theory Of Approximation written by Dunham Jackson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1930-12-31 with Mathematics categories.
Theory Of Approximation Of Functions Of A Real
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Author :
language : en
Publisher:
Release Date : 1963
Theory Of Approximation Of Functions Of A Real written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Functions of real variables categories.
Constructive Approximation
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Author : George G. Lorentz
language : en
Publisher: Springer
Release Date : 1996-05-14
Constructive Approximation written by George G. Lorentz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-14 with Mathematics categories.
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.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Constructive Approximation
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Author : Ronald A. DeVore
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-11-04
Constructive Approximation written by Ronald A. DeVore and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-04 with Mathematics categories.
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.