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Author : Edward B. Saff
Publisher : Springer
ISBN 13 : 3540479910
Total Pages : 233 pages
Book Rating : 4.5/5 (44 download)
Download or read book Approximation Theory. Tampa written by Edward B. Saff and published by Springer. This book was released on 2006-11-15 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward B. Saff
Publisher : Springer
ISBN 13 : 9783662190043
Total Pages : 232 pages
Book Rating : 4.1/5 (9 download)
Download or read book Approximation Theory. Tampa written by Edward B. Saff and published by Springer. This book was released on 2014-03-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward B. Saff
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (658 download)
Download or read book Approximation Theory, Tampa written by Edward B. Saff and published by . This book was released on 1987 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E.B. Safe
Publisher : Elsevier
ISBN 13 : 0323147771
Total Pages : 506 pages
Book Rating : 4.3/5 (231 download)
Download or read book Pade and Rational Approximation written by E.B. Safe and published by Elsevier. This book was released on 2013-05-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Padé and Rational Approximation: Theory and Applications presents the proceedings of the Conference on Rational Approximation with Emphasis on Applications of Padé Approximants, held in Tampa, Florida on December 15-17, 1976. The contributors focus on the interplay of theory, computation, and physical applications. This book is composed of six parts encompassing 44 chapters. The introductory part discusses the general theory of orthogonal polynomials that is the mathematical basis of Padé approximants and related matters evaluation. This text also examines the connection between approximants on a stepline in the ordinary Padé table and certain continued fractions and the convergence of diagonal Padé approximants to a class of functions with an even number of branch points. The following parts deal with the special functions and continued fractions of Padé approximation and the theory of rational approximations. These parts also investigate the geometric convergence of Chebyshev rational approximation on the half line, the optimal approximation by “Almost Classical interpolation, and the incomplete polynomials approximation. The discussion then shifts to the physical applications and computations of the Padé approximants. The concluding part presents the applications of rational approximation to gun fire control and to the White Sands Missile Range Computer Facility. This part also provides a list of some open problems and conjectures concerning polynomials and rational functions. This book is of great benefit to mathematicians, physicists, and laboratory workers.
Author : Edward B. Saff
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (859 download)
Download or read book Approximation Theory, Tampa written by Edward B. Saff and published by . This book was released on 1987 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download Padé and rational approximation : theory and applications ; [proceedings of an international symposium held at the University of South Florida, Tampa, Florida, December 15 - 17, 1976] PDF Online Free](https://books.google.com/books/content/images/frontcover/kvVuwgEACAAJ?fife=w200-h370)
Author : Edward Barry Saff
Publisher :
ISBN 13 : 9780126141504
Total Pages : pages
Book Rating : 4.1/5 (415 download)
Download or read book Padé and rational approximation : theory and applications ; [proceedings of an international symposium held at the University of South Florida, Tampa, Florida, December 15 - 17, 1976] written by Edward Barry Saff and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.R. Graves-Morris
Publisher : Springer
ISBN 13 : 3540391134
Total Pages : 541 pages
Book Rating : 4.5/5 (43 download)
Download or read book Rational Approximation and Interpolation written by P.R. Graves-Morris and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.P. Singh
Publisher : Springer Science & Business Media
ISBN 13 : 9401126348
Total Pages : 482 pages
Book Rating : 4.4/5 (11 download)
Download or read book Approximation Theory, Spline Functions and Applications written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the Proceedings of the NATO Advanced Study Institute on Approximation Theory, Spline Functions and Applications held in the Hotel villa del Mare, Maratea, Italy between April 28,1991 and May 9, 1991. The principal aim of the Advanced Study Institute, as reflected in these Proceedings, was to bring together recent and up-to-date developments of the subject, and to give directions for future research. Amongst the main topics covered during this Advanced Study Institute is the subject of uni variate and multivariate wavelet decomposition over spline spaces. This is a relatively new area in approximation theory and an increasingly impor tant subject. The work involves key techniques in approximation theory cardinal splines, B-splines, Euler-Frobenius polynomials, spline spaces with non-uniform knot sequences. A number of scientific applications are also highlighted, most notably applications to signal processing and digital im age processing. Developments in the area of approximation of functions examined in the course of our discussions include approximation of periodic phenomena over irregular node distributions, scattered data interpolation, Pade approximants in one and several variables, approximation properties of weighted Chebyshev polynomials, minimax approximations, and the Strang Fix conditions and their relation to radial functions. I express my sincere thanks to the members of the Advisory Commit tee, Professors B. Beauzamy, E. W. Cheney, J. Meinguet, D. Roux, and G. M. Phillips. My sincere appreciation and thanks go to A. Carbone, E. DePas cale, R. Charron, and B.
Author : Andrei A. Gonchar
Publisher : Springer
ISBN 13 : 3540477926
Total Pages : 225 pages
Book Rating : 4.5/5 (44 download)
Download or read book Methods of Approximation Theory in Complex Analysis and Mathematical Physics written by Andrei A. Gonchar and published by Springer. This book was released on 2008-01-03 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras,numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R.- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp.- H. Stahl: Uniform Rational Approximation of x .- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions.- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms.- O.G. Parfenov: Extremal problems for Blaschke products and N-widths.- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 .- J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients.- S. Khrushchev: Parameters of orthogonal polynomials.- V.N. Temlyakov: The universality of the Fibonacci cubature formulas.
Author : M. J. D. Powell
Publisher : Cambridge University Press
ISBN 13 : 9780521295147
Total Pages : 356 pages
Book Rating : 4.2/5 (951 download)
Download or read book Approximation Theory and Methods written by M. J. D. Powell and published by Cambridge University Press. This book was released on 1981-03-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
Author : E. B. Saff
Publisher :
ISBN 13 :
Total Pages : 491 pages
Book Rating : 4.:/5 (488 download)
Download or read book Padé and Rational Approximation written by E. B. Saff and published by . This book was released on 1977 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl De Boor
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867433
Total Pages : 152 pages
Book Rating : 4.8/5 (674 download)
Download or read book Approximation Theory written by Carl De Boor and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this book, first presented at a 1986 AMS Short Course, give a brief introduction to approximation theory and some of its current areas of active research, both theoretical and applied. The first lecture describes and illustrates the basic concerns of the field. Topics highlighted in the other lectures include the following: approximation in the complex domain, $N$-width, optimal recovery, interpolation, algorithms for approximation, and splines, with a strong emphasis on a multivariate setting for the last three topics. The book is aimed at mathematicians interested in an introduction to areas of current research and to engineers and scientists interested in exploring the field for possible applications to their own fields. The book is best understood by those with a standard first graduate course in real and complex analysis, but some of the presentations are accessible with the minimal requirements of advanced calculus and linear algebra.
Author : Hrushikesh Narhar Mhaskar
Publisher : CRC Press
ISBN 13 : 9780849309397
Total Pages : 580 pages
Book Rating : 4.3/5 (93 download)
Download or read book Fundamentals of Approximation Theory written by Hrushikesh Narhar Mhaskar and published by CRC Press. This book was released on 2000 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of approximation theory has become so vast that it intersects with every other branch of analysis and plays an increasingly important role in applications in the applied sciences and engineering. Fundamentals of Approximation Theory presents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. With an approach that moves smoothly from the very concrete to more and more abstract levels, this text provides an outstanding blend of classical and abstract topics. The first five chapters present the core of information that readers need to begin research in this domain. The final three chapters the authors devote to special topics-splined functions, orthogonal polynomials, and best approximation in normed linear spaces- that illustrate how the core material applies in other contexts and expose readers to the use of complex analytic methods in approximation theory. Each chapter contains problems of varying difficulty, including some drawn from contemporary research. Perfect for an introductory graduate-level class, Fundamentals of Approximation Theory also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.
Author : N. I. Achieser
Publisher : Courier Corporation
ISBN 13 : 0486153134
Total Pages : 324 pages
Book Rating : 4.4/5 (861 download)
Download or read book Theory of Approximation written by N. I. Achieser and published by Courier Corporation. This book was released on 2013-06-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Nikolaĭ Pavlovich Korneĭchuk
Publisher : Cambridge University Press
ISBN 13 : 9780521382342
Total Pages : 472 pages
Book Rating : 4.3/5 (823 download)
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.
Author : M. D. Buhmann
Publisher : Cambridge University Press
ISBN 13 : 9780521581905
Total Pages : 238 pages
Book Rating : 4.5/5 (819 download)
Download or read book Approximation Theory and Optimization written by M. D. Buhmann and published by Cambridge University Press. This book was released on 1997-11-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Powell is one of the world's foremost figures in numerical analysis. This volume, first published in 1997, is derived from invited talks given at a meeting celebrating his 60th birthday and, reflecting Powell's own achievements, focuses on innovative work in optimisation and in approximation theory. The individual papers have been written by leading authorities in their subjects and are a mix of expository articles and surveys. They have all been reviewed and edited to form a coherent volume for this important discipline within mathematics, with highly relevant applications throughout science and engineering.
Author : C. K. Chui
Publisher : World Scientific
ISBN 13 : 9814532606
Total Pages : 454 pages
Book Rating : 4.8/5 (145 download)
Download or read book Approximation Theory Eight written by C. K. Chui and published by World Scientific. This book was released on 1995 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.
