Approximation Theory Viii Volume 1 Approximation And Interpolation

Author : Charles K Chui,Larry L Schumaker
Publisher : World Scientific
Page : 606 pages
File Size : 46,5 Mb
Release : 1995-11-07
Category : Mathematics
ISBN : 9789814549066

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Approximation Theory Viii - Volume 1: Approximation And Interpolation by Charles K Chui,Larry L Schumaker Pdf

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.

Author : Charles K. Chui
Publisher : World Scientific
Page : 606 pages
File Size : 44,8 Mb
Release : 1995
Category : Mathematics
ISBN : 9789814532594

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Approximation Theory VIII by Charles K. Chui Pdf

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.

Author : C. K. Chui,Larry L. Schumaker
Publisher : World Scientific
Page : 454 pages
File Size : 44,9 Mb
Release : 1995
Category : Mathematics
ISBN : 9789814532600

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Approximation Theory Eight by C. K. Chui,Larry L. Schumaker Pdf

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.

Author : C. K. Chui,Larry L. Schumaker
Publisher : World Scientific Publishing Company Incorporated
Page : 570 pages
File Size : 48,8 Mb
Release : 1995-01-01
Category : Approximation theory
ISBN : 9810229712

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Approximation Theory VIII: Approximation and interpolation by C. K. Chui,Larry L. Schumaker Pdf

Author : Charles K Chui,Larry L Schumaker
Publisher : World Scientific
Page : 454 pages
File Size : 45,8 Mb
Release : 1995-11-07
Category : Mathematics
ISBN : 9789814549073

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Approximation Theory Viii - Volume 2: Wavelets And Multilevel Approximation by Charles K Chui,Larry L Schumaker Pdf

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.

Author : M. J. D. Powell
Publisher : Cambridge University Press
Page : 356 pages
File Size : 53,9 Mb
Release : 1981-03-31
Category : Mathematics
ISBN : 0521295149

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Approximation Theory and Methods by M. J. D. Powell Pdf

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 : Elliott Ward Cheney,William Allan Light
Publisher : American Mathematical Soc.
Page : 379 pages
File Size : 51,7 Mb
Release : 2009-01-13
Category : Mathematics
ISBN : 9780821847985

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A Course in Approximation Theory by Elliott Ward Cheney,William Allan Light Pdf

This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to guide the reader in exploring contemporary approximation theory. The emphasis is on multi-variable approximation theory, i.e., the approximation of functions in several variables, as opposed to the classical theory of functions in one variable. Most of the topics in the book, heretofore accessible only through research papers, are treated here from the basics to the currently active research, often motivated by practical problems arising in diverse applications such as science, engineering, geophysics, and business and economics. Among these topics are projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, wavelets, thin-plate splines, box splines, ridge functions, and convolutions. An important and valuable feature of the book is the bibliography of almost 600 items directing the reader to important books and research papers. There are 438 problems and exercises scattered through the book allowing the student reader to get a better understanding of the subject.

Author : George M. Phillips
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 49,9 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387216829

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Interpolation and Approximation by Polynomials by George M. Phillips Pdf

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.

Author : N. K. Govil,H. N. Mhaskar,Ram N. Mohapatra,Zuhair Nashed,J. Szabados
Publisher : CRC Press
Page : 476 pages
File Size : 46,9 Mb
Release : 2006-07-20
Category : Mathematics
ISBN : 9781420011388

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Frontiers in Interpolation and Approximation by N. K. Govil,H. N. Mhaskar,Ram N. Mohapatra,Zuhair Nashed,J. Szabados Pdf

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Author : Philip J. Davis
Publisher : Courier Corporation
Page : 418 pages
File Size : 40,5 Mb
Release : 1975-01-01
Category : Mathematics
ISBN : 9780486624952

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Interpolation and Approximation by Philip J. Davis Pdf

Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.

Author : Gregory E. Fasshauer
Publisher : World Scientific
Page : 520 pages
File Size : 50,9 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9789812706331

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Meshfree Approximation Methods with MATLAB by Gregory E. Fasshauer Pdf

Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.

Author : Hrushikesh Narhar Mhaskar,Devidas V. Pai
Publisher : Alpha Science International, Limited
Page : 572 pages
File Size : 43,9 Mb
Release : 2007
Category : Mathematics
ISBN : UCSC:32106019292199

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Fundamentals of Approximation Theory by Hrushikesh Narhar Mhaskar,Devidas V. Pai Pdf

This book presents a systematic and in-depth treatment of some basic topics in approximation theory in an effort to emphasize the rich connections of different branches of analysis with this subject. It contains a good blend of both the classical as well as abstract topics in the domain and their interconnections as appropriate. The approach is from the very concrete to more and more abstract levels. In order to provide a historical perspective on the results, a section on notes is appended to each chapter with an extensive bibliography. Researchers will find several references to recent developments. Problems of varying degree of difficulty accompany each chapter. Some of these problems complement certain results from the text. The others, more challenging, are drawn from the contemporary research articles. Ample hints are provided for such problems. Primarily aimed at graduate students and teachers of mathematics, researchers interested in an introduction to the specific results or techniques of approximation theory will find this book very attractive.

Author : Ronald A. DeVore,George G. Lorentz
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 41,7 Mb
Release : 1993-11-04
Category : Mathematics
ISBN : 3540506276

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Constructive Approximation by Ronald A. DeVore,George G. Lorentz Pdf

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.

Author : Carl De Boor,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 152 pages
File Size : 48,9 Mb
Release : 1986-12-31
Category : Mathematics
ISBN : 0821867431

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Approximation Theory by Carl De Boor,American Mathematical Society Pdf

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 : Gregory E Fasshauer
Publisher : World Scientific Publishing Company
Page : 520 pages
File Size : 47,7 Mb
Release : 2007-04-17
Category : Mathematics
ISBN : 9789813101579

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Meshfree Approximation Methods with Matlab by Gregory E Fasshauer Pdf

Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.