Approximation of Functions and Operators PDF Download
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Languages : en
Pages : 0
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Author:
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Languages : en
Pages : 0
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Author: S. B. Stechkin
Publisher: American Mathematical Soc.
ISBN: 9780821830383
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Papers and articles about approximation theory.
Author: Theodore J. Rivlin
Publisher: Courier Corporation
ISBN: 9780486640693
Category : Mathematics
Languages : en
Pages : 164
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Book Description
Mathematics of Computing -- Numerical Analysis.
Author: Radu Paltanea
Publisher: Springer Science & Business Media
ISBN: 1461220580
Category : Mathematics
Languages : en
Pages : 208
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Book Description
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
Author: G. G. Lorentz
Publisher: American Mathematical Society
ISBN: 1470474948
Category : Mathematics
Languages : en
Pages : 200
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Book Description
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: Ronald A. De Vore
Publisher: Springer
ISBN: 3540379959
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Author: Ali Aral
Publisher: Springer Science & Business Media
ISBN: 1461469465
Category : Mathematics
Languages : en
Pages : 275
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Book Description
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.
Author: Ronald A. De Vore
Publisher:
ISBN: 9783662179765
Category :
Languages : en
Pages : 304
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Book Description
Author: Béla Szőkefalvi-Nagy
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 692
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Book Description
Author: Vijay Gupta
Publisher: Springer
ISBN: 3319587951
Category : Mathematics
Languages : en
Pages : 193
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Book Description
This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.
