Rational Approximation And Interpolation
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Topics In Polynomial And Rational Interpolation And Approximation
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Author : Richard S. Varga
language : en
Publisher:
Release Date : 1982
Topics In Polynomial And Rational Interpolation And Approximation written by Richard S. Varga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Approximation theory categories.
Rational Approximation And Interpolation
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Author : P. R. Graves-Morris
language : en
Publisher:
Release Date : 2014-01-15
Rational Approximation And Interpolation written by P. R. Graves-Morris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Rational Approximation And Interpolation
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Author : P.R. Graves-Morris
language : en
Publisher: Springer
Release Date : 2006-11-14
Rational Approximation And Interpolation written by P.R. Graves-Morris and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 1965
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh 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 1965 with Mathematics categories.
Interpolation And Approximation By Rational Functions In The Complex Domain
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Author : J. L. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 1935-12-31
Interpolation And Approximation By Rational Functions In The Complex Domain written by J. L. Walsh 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 1935-12-31 with Mathematics categories.
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Rational Approximation Of Real Functions
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Author : P. P. Petrushev
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-03
Rational Approximation Of Real Functions written by P. P. Petrushev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-03 with Mathematics categories.
This 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation.
Linear Algebra Rational Approximation And Orthogonal Polynomials
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Author : Adhemar Bultheel
language : en
Publisher:
Release Date : 1997
Linear Algebra Rational Approximation And Orthogonal Polynomials written by Adhemar Bultheel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Algebras, Linear categories.
Rational Approximation And Interpolation Proceedings
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Author : Peter Russell Graves-Morris
language : en
Publisher:
Release Date : 1984
Rational Approximation And Interpolation Proceedings written by Peter Russell Graves-Morris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Interpolation And Approximation By Polynomials
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Author : George M. Phillips
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-04-08
Interpolation And Approximation By Polynomials written by George M. Phillips 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 2003-04-08 with Mathematics categories.
In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
Nonlinear Approximation Theory
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Author : Dietrich Braess
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Approximation Theory written by Dietrich Braess 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 2012-12-06 with Mathematics categories.
The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxima tion is strongly connected with his name. By making use of his ideas, the theories of best uniform approximation by rational functions and by polynomials were developed over the years in an almost unified framework. The difference between linear and rational approximation and its implications first became apparent in the 1960's. At roughly the same time other approaches to nonlinear approximation were also developed. The use of new tools, such as nonlinear functional analysis and topological methods, showed that linearization is not sufficient for a complete treatment of nonlinear families. In particular, the application of global analysis and the consideration of flows on the family of approximating functions intro duced ideas which were previously unknown in approximation theory. These were and still are important in many branchesof analysis. On the other hand, methods developed for nonlinear approximation prob lems can often be successfully applied to problems which belong to or arise from linear approximation. An important example is the solution of moment problems via rational approximation. Best quadrature formulae or the search for best linear spaces often leads to the consideration of spline functions with free nodes. The most famous problem of this kind, namely best interpolation by poly nomials, is treated in the appendix of this book.