On the Problem of "best Approximation"

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ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On the Problem of "best Approximation" by : Arnold Noah Lowan

Download or read book On the Problem of "best Approximation" written by Arnold Noah Lowan and published by . This book was released on 1958 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Best Approximation in Inner Product Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1468492985
Total Pages : 344 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Best Approximation in Inner Product Spaces by : Frank R. Deutsch

Download or read book Best Approximation in Inner Product Spaces written by Frank R. Deutsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.

Fixed Point Theory and Best Approximation: The KKM-map Principle

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Publisher : Springer Science & Business Media
ISBN 13 : 9401588228
Total Pages : 231 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Fixed Point Theory and Best Approximation: The KKM-map Principle by : S.P. Singh

Download or read book Fixed Point Theory and Best Approximation: The KKM-map Principle written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies. Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.

Approximation Theory and Approximation Practice, Extended Edition

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Publisher : SIAM
ISBN 13 : 1611975948
Total Pages : 375 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Approximation Theory and Approximation Practice, Extended Edition by : Lloyd N. Trefethen

Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen and published by SIAM. This book was released on 2019-01-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

The Theory of Approximation

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Publisher : American Mathematical Soc.
ISBN 13 : 082183892X
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Theory of Approximation by : Dunham Jackson

Download or read book The Theory of Approximation written by Dunham Jackson and published by American Mathematical Soc.. This book was released on 1930-12-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Best Approximation Method An Introduction

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Publisher : Springer Science & Business Media
ISBN 13 : 3642830382
Total Pages : 185 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis The Best Approximation Method An Introduction by : Theodore V. II Hromadka

Download or read book The Best Approximation Method An Introduction written by Theodore V. II Hromadka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most commonly used numerical techniques in solving engineering and mathematical models are the Finite Element, Finite Difference, and Boundary Element Methods. As computer capabilities continue to impro':e in speed, memory size and access speed, and lower costs, the use of more accurate but computationally expensive numerical techniques will become attractive to the practicing engineer. This book presents an introduction to a new approximation method based on a generalized Fourier series expansion of a linear operator equation. Because many engineering problems such as the multi dimensional Laplace and Poisson equations, the diffusion equation, and many integral equations are linear operator equations, this new approximation technique will be of interest to practicing engineers. Because a generalized Fourier series is used to develop the approxi mator, a "best approximation" is achieved in the "least-squares" sense; hence the name, the Best Approximation Method. This book guides the reader through several mathematics topics which are pertinent to the development of the theory employed by the Best Approximation Method. Working spaces such as metric spaces and Banach spaces are explained in readable terms. Integration theory in the Lebesque sense is covered carefully. Because the generalized Fourier series utilizes Lebesque integration concepts, the integra tion theory is covered through the topic of converging sequences of functions with respect to measure, in the mean (Lp), almost uniformly IV and almost everywhere. Generalized Fourier theory and linear operator theory are treated in Chapters 3 and 4.

The Theory of Best Approximation and Functional Analysis

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Publisher : SIAM
ISBN 13 : 9781611970548
Total Pages : 102 pages
Book Rating : 4.9/5 (75 download)

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Book Synopsis The Theory of Best Approximation and Functional Analysis by : Ivan Singer

Download or read book The Theory of Best Approximation and Functional Analysis written by Ivan Singer and published by SIAM. This book was released on 1974-01-01 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.

Approximation Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3662045656
Total Pages : 380 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Approximation Algorithms by : Vijay V. Vazirani

Download or read book Approximation Algorithms written by Vijay V. Vazirani and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Ridge Functions

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Publisher : Cambridge University Press
ISBN 13 : 1107124395
Total Pages : 218 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Ridge Functions by : Allan Pinkus

Download or read book Ridge Functions written by Allan Pinkus and published by Cambridge University Press. This book was released on 2015-08-07 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in the theory of ridge functions, providing a solid theoretical foundation.

Best Approximation by Linear Superpositions (approximate Nomography)

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821897737
Total Pages : 188 pages
Book Rating : 4.8/5 (977 download)

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Book Synopsis Best Approximation by Linear Superpositions (approximate Nomography) by : S. I͡A. Khavinson

Download or read book Best Approximation by Linear Superpositions (approximate Nomography) written by S. I͡A. Khavinson and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions D considered as a sub-space of the space of continous functions C(X) on a compact space X. Such properties as density of D in C(X), its closedness, proximality, etc. are studied in great detail. The approach to these and other problems based on duality and the Hahn-Banach theorem is emphasized. Also, considerable attention is given to the discussion of the Diliberto-Straus algorithm for finding the best approximation of a given function by linear superpositions.

Interpolation and Approximation

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Publisher : Courier Corporation
ISBN 13 : 0486624951
Total Pages : 418 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Interpolation and Approximation by : Philip J. Davis

Download or read book Interpolation and Approximation written by Philip J. Davis and published by Courier Corporation. This book was released on 1975-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Constructive Aspects of Functional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642109845
Total Pages : 848 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Constructive Aspects of Functional Analysis by : Giuseppe Geymonat

Download or read book Constructive Aspects of Functional Analysis written by Giuseppe Geymonat and published by Springer Science & Business Media. This book was released on 2011-06-21 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: A. Balakrishnan: A constructive approach to optimal control.- R. Glowinski: Méthodes itératives duales pour la minimisation de fonctionnelles convexes.- J.L. Lions: Approximation numérique des inéquations d’évolution.- G. Marchuk: Introduction to the methods of numerical analysis.- U. Mosco: An introduction to the approximate solution of variational inequalities.- I. Singer: Best approximation in normed linear spaces.- G. Strang: A Fourier analysis of the finite element variational method.- M. Zerner: Caractéristiques d’approximation des compacts dans les espaces fonctionnels et problèmes aux limites elliptiques.

Fundamentals of Approximation Theory

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Publisher : CRC Press
ISBN 13 : 9780849309397
Total Pages : 580 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Fundamentals of Approximation Theory by : Hrushikesh Narhar Mhaskar

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.

The Theory of Best Approximation and Functional Analysis

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Publisher : SIAM
ISBN 13 : 0898710103
Total Pages : 103 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Theory of Best Approximation and Functional Analysis by : Ivan Singer

Download or read book The Theory of Best Approximation and Functional Analysis written by Ivan Singer and published by SIAM. This book was released on 1974-06-01 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner.

A First Course in Numerical Methods

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Publisher : SIAM
ISBN 13 : 0898719976
Total Pages : 574 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A First Course in Numerical Methods by : Uri M. Ascher

Download or read book A First Course in Numerical Methods written by Uri M. Ascher and published by SIAM. This book was released on 2011-07-14 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers students a practical knowledge of modern techniques in scientific computing.

The Best Approximation Method in Computational Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1447120205
Total Pages : 259 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis The Best Approximation Method in Computational Mechanics by : Theodore V., II Hromadka

Download or read book The Best Approximation Method in Computational Mechanics written by Theodore V., II Hromadka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the overwhelming use of computers in engineering, science and physics, the approximate solution of complex mathematical systems of equations is almost commonplace. The Best Approximation Method unifies many of the numerical methods used in computational mechanics. Nevertheless, despite the vast quantities of synthetic data there is still some doubt concerning the validity and accuracy of these approximations. This publication assists the computer modeller in his search for the best approximation by presenting functional analysis concepts. Computer programs are provided which can be used by readers with FORTRAN capability. The classes of problems examined include engineering applications, applied mathematics, numerical analysis and computational mechanics. The Best Approximation Method in Computational Mechanics serves as an introduction to functional analysis and mathematical analysis of computer modelling algorithms. It makes computer modellers aware of already established principles and results assembled in functional analysis.

Topics in Approximation Theory

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Publisher : Springer
ISBN 13 : 3540364978
Total Pages : 283 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topics in Approximation Theory by : Harold S. Shapiro

Download or read book Topics in Approximation Theory written by Harold S. Shapiro and published by Springer. This book was released on 2006-11-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: