Author: Le Baron O. Ferguson
Publisher: American Mathematical Soc.
ISBN: 0821815172
Category : Mathematics
Languages : en
Pages : 174
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)?'
Approximation by Polynomials with Integral Coefficients
Author: Le Baron O. Ferguson
Publisher: American Mathematical Soc.
ISBN: 0821815172
Category : Mathematics
Languages : en
Pages : 174
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)?'
Publisher: American Mathematical Soc.
ISBN: 0821815172
Category : Mathematics
Languages : en
Pages : 174
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)?'
Survey of Approximation by Polynomials with Integral Coefficients
The Theory of Approximation by Polynomials with Integral Coefficients
On the Accuracy of Approximation by Polynomials with Integral Coefficients Only
On Approximate Polynomials with Integral Coefficients Only
Approximating Continuous Functions with Polynomials Having Integral Coefficients
Degree of Polynomial Approximation to an Analytic Function as Measured by a Surface Integral
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 42
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).
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 42
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).
Introduction To The Theory Of Weighted Polynomial Approximation
Author: H N Mhaskar
Publisher: World Scientific
ISBN: 9814518050
Category : Mathematics
Languages : en
Pages : 398
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.
Publisher: World Scientific
ISBN: 9814518050
Category : Mathematics
Languages : en
Pages : 398
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.
Weighted Polynomial Approximation and Numerical Methods for Integral Equations
Author: Peter Junghanns
Publisher: Springer Nature
ISBN: 303077497X
Category : Mathematics
Languages : en
Pages : 662
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.
Publisher: Springer Nature
ISBN: 303077497X
Category : Mathematics
Languages : en
Pages : 662
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.
Approximation Methods for Solutions of Differential and Integral Equations
Author: V. K. Dzyadyk
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110944693
Category : Mathematics
Languages : en
Pages : 332
Book Description
No detailed description available for "Approximation Methods for Solutions of Differential and Integral Equations".
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110944693
Category : Mathematics
Languages : en
Pages : 332
Book Description
No detailed description available for "Approximation Methods for Solutions of Differential and Integral Equations".