Approximation Of Functions
Download Approximation Of Functions full books in PDF, epub, and Kindle. Read online free Approximation Of Functions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
An Introduction to the Approximation of Functions
Author | : Theodore J. Rivlin |
Publsiher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981-01-01 |
Genre | : Mathematics |
ISBN | : 0486640698 |
Download An Introduction to the Approximation of Functions Book in PDF, Epub and Kindle
Mathematics of Computing -- Numerical Analysis.
Approximation of Functions
Author | : G. G. Lorentz |
Publsiher | : American Mathematical Society |
Total Pages | : 200 |
Release | : 2023-05-08 |
Genre | : Mathematics |
ISBN | : 9781470474942 |
Download Approximation of Functions Book in PDF, Epub and Kindle
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.
Approximation of Functions
Author | : G. G. Lorentz |
Publsiher | : American Mathematical Soc. |
Total Pages | : 208 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821840509 |
Download Approximation of Functions Book in PDF, Epub and Kindle
This is an easily accessible book on the approximation of functions--simple and without unnecessary details, but complete enough to include the main results of the theory. Except for a few sections, only functions of a real variable are treated. This work can be used as a textbook for graduate or advanced undergraduate courses or for self-study. Included in the volume are Notes at the end of each chapter, Problems, and a selected Bibliography.
Fourier Analysis and Approximation of Functions
Author | : Roald M. Trigub,Eduard S. Belinsky |
Publsiher | : Springer Science & Business Media |
Total Pages | : 610 |
Release | : 2004-09-07 |
Genre | : Mathematics |
ISBN | : 1402023413 |
Download Fourier Analysis and Approximation of Functions Book in PDF, Epub and Kindle
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.
Rational Approximation of Real Functions
Author | : P. P. Petrushev,Vasil Atanasov Popov |
Publsiher | : Cambridge University Press |
Total Pages | : 388 |
Release | : 2011-03-03 |
Genre | : Mathematics |
ISBN | : 0521177405 |
Download Rational Approximation of Real Functions Book in PDF, Epub and Kindle
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.
Analytic Number Theory Approximation Theory and Special Functions
Author | : Gradimir V. Milovanović,Michael Th. Rassias |
Publsiher | : Springer |
Total Pages | : 873 |
Release | : 2014-07-08 |
Genre | : Mathematics |
ISBN | : 9781493902583 |
Download Analytic Number Theory Approximation Theory and Special Functions Book in PDF, Epub and Kindle
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
Sparse Polynomial Approximation of High Dimensional Functions
Author | : Ben Adcock,Simone Brugiapaglia,Clayton G. Webster |
Publsiher | : Society for Industrial and Applied Mathematics (SIAM) |
Total Pages | : 0 |
Release | : 2021 |
Genre | : Approximation theory |
ISBN | : 1611976871 |
Download Sparse Polynomial Approximation of High Dimensional Functions Book in PDF, Epub and Kindle
"This is a book about polynomial approximation in high dimensions"--
Theory of Uniform Approximation of Functions by Polynomials
Author | : Vladislav K. Dzyadyk,Igor A. Shevchuk |
Publsiher | : Walter de Gruyter |
Total Pages | : 497 |
Release | : 2008-09-25 |
Genre | : Mathematics |
ISBN | : 9783110208245 |
Download Theory of Uniform Approximation of Functions by Polynomials Book in PDF, Epub and Kindle
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions.