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Author: Le Baron O. FERGUSON
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Le Baron O. FERGUSON
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Le Baron O. Ferguson
Publisher: American Mathematical Soc.
ISBN: 0821815172
Category : Mathematics
Languages : en
Pages : 174
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Book Description
Addresses two questions that include: 'What functions can be approximated by polynomials whose coefficients are integers?' and 'How well are they approximated (Jackson type theorems)?'
Author: Peter Junghanns
Publisher: Springer Nature
ISBN: 303077497X
Category : Mathematics
Languages : en
Pages : 662
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Book Description
The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 42
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Book Description
Results are derived relating continuity properties of f(z) on the boundary C of a region D to D f(z) - pn(z) pdS, p> 1, as a measure ofAPPROXIMATION. (Author).
Author: Manfred Reimer
Publisher: Birkhäuser
ISBN: 3034880952
Category : Mathematics
Languages : en
Pages : 361
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Book Description
This book introduces general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book builds the first comprehensive introduction to the theory of generalized hyperinterpolation. Several parts of the book are based on rotation principles, which are presented in the beginning of the book.
Author: V. I. Krylov
Publisher: Courier Corporation
ISBN: 048615467X
Category : Mathematics
Languages : en
Pages : 372
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Book Description
An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.
Author: Vladislav K. Dzyadyk
Publisher: Walter de Gruyter
ISBN: 3110208245
Category : Mathematics
Languages : en
Pages : 497
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Book Description
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.
Author: Hrushikesh Narhar Mhaskar
Publisher: World Scientific
ISBN: 9789810213121
Category : Mathematics
Languages : en
Pages : 406
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Book Description
In this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years. There are other books and surveys reviewing the ideas from the perspective of either potential theory or orthogonal polynomials. The main thrust of this book is to introduce the subject from an approximation theory point of view. Thus, the main motivation is to study analogues of results from classical trigonometric approximation theory, introducing other ideas as needed. It is not our objective to survey the most recent results, but merely to introduce to the readers the thought processes and ideas as they are developed.This book is intended to be self-contained, although the reader is expected to be familiar with rudimentary real and complex analysis. It will also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.
Author: Cecelia H. Chu
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
Author: Theodore J. Rivlin
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 168
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Book Description
Approximation theory is an area of mathematics with important practical applications in computation. This volume provides an introduction to the theoretical foundations which underlie many of the algorithms of everyday use. For each method of approximation studied, at least one algorithm leading to actual numerical approximations is described.
