Theory Of Approximation Of Functions Of A Real Variable
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Author | : A. F. Timan |
Publisher | : Elsevier |
Total Pages | : 644 |
Release | : 2014-07-22 |
Genre | : Mathematics |
ISBN | : 1483184811 |
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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 | : Michael Bassey |
Publisher | : |
Total Pages | : |
Release | : 1963 |
Genre | : |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : |
Release | : 1963 |
Genre | : Functions of real variables |
ISBN | : |
Download Theory of Approximation of Functions of a Real Book in PDF, Epub and Kindle
Author | : Theodore J. Rivlin |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981-01-01 |
Genre | : Mathematics |
ISBN | : 9780486640693 |
Download An Introduction to the Approximation of Functions Book in PDF, Epub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : G. G. Lorentz |
Publisher | : American Mathematical Society |
Total Pages | : 200 |
Release | : 2023-05-08 |
Genre | : Mathematics |
ISBN | : 1470474948 |
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.
Author | : Aleksandr Filippovich Timan |
Publisher | : |
Total Pages | : 631 |
Release | : 1963 |
Genre | : Functions of real variables |
ISBN | : |
Download Theory of Approximation of Functions of a Real Variable. Translated by J. Berry. English Translation Edited and Editorial Pref. by J. Cossar Book in PDF, Epub and Kindle
Author | : Ernest William Hobson |
Publisher | : |
Total Pages | : 700 |
Release | : 1921 |
Genre | : Calculus |
ISBN | : |
Download The Theory of Functions of a Real Variable and the Theory of Fourier's Series Book in PDF, Epub and Kindle
Author | : Alexandr Filippovich Timan |
Publisher | : |
Total Pages | : 631 |
Release | : 1963 |
Genre | : |
ISBN | : |
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Author | : Aleksandr Filippovich TIMAN |
Publisher | : |
Total Pages | : |
Release | : 1963 |
Genre | : |
ISBN | : |
Download Theory of Approximation of Functions of a Real Variable. Translated by J. Berry. English Translation Edited and Editorial Preface by J. Cossar, Etc Book in PDF, Epub and Kindle
Author | : Boris Zakharovich Vulikh |
Publisher | : |
Total Pages | : 368 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Download A Brief Course in the Theory of Functions of a Real Variable Book in PDF, Epub and Kindle