Approximation Of Functions And Operators
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Approximation of Functions and Operators
Author | : S. B. Stechkin |
Publisher | : American Mathematical Soc. |
Total Pages | : 220 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : 9780821830383 |
Papers and articles about approximation theory.
An Introduction to the Approximation of Functions
Author | : Theodore J. Rivlin |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1981-01-01 |
Genre | : Mathematics |
ISBN | : 9780486640693 |
Mathematics of Computing -- Numerical Analysis.
Applications of q-Calculus in Operator Theory
Author | : Ali Aral |
Publisher | : Springer Science & Business Media |
Total Pages | : 275 |
Release | : 2013-05-09 |
Genre | : Mathematics |
ISBN | : 1461469465 |
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.
Approximation Theory Using Positive Linear Operators
Author | : Radu Paltanea |
Publisher | : Springer Science & Business Media |
Total Pages | : 208 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461220580 |
Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results
The Approximation of Continuous Functions by Positive Linear Operators
Author | : Ronald A. De Vore |
Publisher | : Springer |
Total Pages | : 298 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540379959 |
The Approximation of Continuous Functions by Positive Linear Operators
Author | : Ronald A. De Vore |
Publisher | : |
Total Pages | : 304 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662179765 |
Approximation of Functions
Author | : G. G. Lorentz |
Publisher | : American Mathematical Society |
Total Pages | : 200 |
Release | : 2023-05-08 |
Genre | : Mathematics |
ISBN | : 1470474948 |
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 |
Publisher | : American Mathematical Soc. |
Total Pages | : 208 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780821840504 |
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.
Entropy, Compactness and the Approximation of Operators
Author | : Bernd Carl |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-11-27 |
Genre | : Mathematics |
ISBN | : 9780521090940 |
Entropy quantities are connected with the 'degree of compactness' of compact or precompact spaces, and so are appropriate tools for investigating linear and compact operators between Banach spaces. The main intention of this Tract is to study the relations between compactness and other analytical properties, e.g. approximability and eigenvalue sequences, of such operators. The authors present many generalized results, some of which have not appeared in the literature before. In the final chapter, the authors demonstrate that, to a certain extent, the geometry of Banach spaces can also be developed on the basis of operator theory. All mathematicians working in functional analysis and operator theory will welcome this work as a reference or for advanced graduate courses.