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Author : Harold S. Shapiro
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.3/5 (91 download)
Download or read book Smoothing and Approximation of Functions written by Harold S. Shapiro and published by . This book was released on 1969 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold S. Shapiro
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (68 download)
Download or read book Smoothing and Approximation of Functions, By Harold S. Shapiro written by Harold S. Shapiro and published by . This book was released on 1969 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold S. Shapiro (mathématicien).)
Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.3/5 (91 download)
Download or read book Smoothing and Approximation of Functions written by Harold S. Shapiro (mathématicien).) and published by . This book was released on 1967 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold S. Shapiro
Publisher :
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4.:/5 (488 download)
Download or read book Smoothing and Approximation of Functions. Lectures Given in January-February 1967 written by Harold S. Shapiro and published by . This book was released on 1967 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Feng Dai
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (224 download)
Download or read book Approximation of Real Smooth Functions written by Feng Dai and published by . This book was released on 2004 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. W. Cheney
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (227 download)
Download or read book Smoothing and Approximation of Multivariate Functions written by E. W. Cheney and published by . This book was released on 1979 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the research project was to proceed as far as possible in the study of a certain class of practical approximation problems. Namely, the problem is to reduce the complexity of multivariate functions by representing them precisely or approximately by combinations of univariate functions. A prototype problem is that of finding a best approximation to a function of two variables, F(x, Y), by a sum g(x) + H(y). The prototype problem is thoroughly understood in the case that the functions involved are continuous and an approximation in the uniform sense is needed.
Author : Henry Leslie Garabedian
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.3/5 (129 download)
Download or read book Approximation of Functions written by Henry Leslie Garabedian and published by . This book was released on 1965 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregory Morris Nielson
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (318 download)
Download or read book Surface Approximation and Data Smoothing Using Generalized Spline Functions written by Gregory Morris Nielson and published by . This book was released on 1970 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Grayson K. Kakiko
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (969 download)
Download or read book Approximation by Algebras of Smooth Functions written by Grayson K. Kakiko and published by . This book was released on 1998 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. G. Lorentz
Publisher : American Mathematical Society
ISBN 13 : 1470474948
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)
Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Society. This book was released on 2023-05-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.
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 : 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 : Theodore J. Rivlin
Publisher : Courier Corporation
ISBN 13 : 9780486640693
Total Pages : 164 pages
Book Rating : 4.6/5 (46 download)
Download or read book An Introduction to the Approximation of Functions written by Theodore J. Rivlin and published by Courier Corporation. This book was released on 1981-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : A. F. Timan
Publisher : Elsevier
ISBN 13 : 1483184811
Total Pages : 644 pages
Book Rating : 4.4/5 (831 download)
Download or read book Theory of Approximation of Functions of a Real Variable written by A. F. Timan and published by Elsevier. This book was released on 2014-07-22 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : John F. Monahan
Publisher : Cambridge University Press
ISBN 13 : 1139498002
Total Pages : 465 pages
Book Rating : 4.1/5 (394 download)
Download or read book Numerical Methods of Statistics written by John F. Monahan and published by Cambridge University Press. This book was released on 2011-04-18 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelder–Mead search algorithm.
Author : S.P. Singh
Publisher : Springer Science & Business Media
ISBN 13 : 9789027718181
Total Pages : 502 pages
Book Rating : 4.7/5 (181 download)
Download or read book Approximation Theory and Spline Functions written by S.P. Singh and published by Springer Science & Business Media. This book was released on 1984-09-30 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983. This volume consists of the Proceedings of that Institute. These Proceedings include the main invited talks and contributed papers given during the Institute. The aim of these lectures was to bring together Mathematicians, Physicists and Engineers working in the field. The lectures covered a wide range including ~1ultivariate Approximation, Spline Functions, Rational Approximation, Applications of Elliptic Integrals and Functions in the Theory of Approximation, and Pade Approximation. We express our sincere thanks to Professors E. W. Cheney, J. Meinguet, J. M. Phillips and H. Werner, members of the International Advisory Committee. We also extend our thanks to the main speakers and the invi ted speakers, whose contri butions made these Proceedings complete. The Advanced Study Institute was financed by the NATO Scientific Affairs Division. We express our thanks for the generous support. We wish to thank members of the Department of Mathematics and Statistics at MeMorial University who willingly helped with the planning and organizing of the Institute. Special thanks go to Mrs. Mary Pike who helped immensely in the planning and organizing of the Institute, and to Miss Rosalind Genge for her careful and excellent typing of the manuscript of these Proceedings.
Author : N. L. Schryer
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (897 download)
Download or read book SSAF: Smooth Spline Approximation to Functions written by N. L. Schryer and published by . This book was released on 1986 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
