Author: Frederick James Schuurmann
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 212
Book Description
The Uniform Approximation of a Function and Its Derivatives by Polynomials
Author: Frederick James Schuurmann
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 212
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 212
Book Description
Theory of Uniform Approximation of Functions by Polynomials
Author: Vladislav Kirillovich Dzi︠a︡dyk
Publisher: de Gruyter
ISBN:
Category : Mathematics
Languages : en
Pages : 504
Book Description
Review text: "The book could be of interest for all who work in approximation theory and related fields; it should not be overlooked by university libraries."In: Ems Newsletter 3/2009 "It is useful for students interested in uniform approximation theory, and it can be used as a reference book for researchers as well."In: L'Enseignement Mathématique 2/2008.
Publisher: de Gruyter
ISBN:
Category : Mathematics
Languages : en
Pages : 504
Book Description
Review text: "The book could be of interest for all who work in approximation theory and related fields; it should not be overlooked by university libraries."In: Ems Newsletter 3/2009 "It is useful for students interested in uniform approximation theory, and it can be used as a reference book for researchers as well."In: L'Enseignement Mathématique 2/2008.
An Introduction to the Approximation of Functions
Author: Theodore J. Rivlin
Publisher: Courier Corporation
ISBN: 9780486640693
Category : Mathematics
Languages : en
Pages : 164
Book Description
Mathematics of Computing -- Numerical Analysis.
Publisher: Courier Corporation
ISBN: 9780486640693
Category : Mathematics
Languages : en
Pages : 164
Book Description
Mathematics of Computing -- Numerical Analysis.
Approximation of Functions
Author: G. G. Lorentz
Publisher: American Mathematical Soc.
ISBN: 9780821840504
Category : Mathematics
Languages : en
Pages : 208
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 9780821840504
Category : Mathematics
Languages : en
Pages : 208
Book Description
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.
Polynomial Approximation of Differential Equations
Author: Daniele Funaro
Publisher: Springer Science & Business Media
ISBN: 3540467831
Category : Science
Languages : en
Pages : 315
Book Description
This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required.
Publisher: Springer Science & Business Media
ISBN: 3540467831
Category : Science
Languages : en
Pages : 315
Book Description
This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required.
Interpolation and Approximation
Author: Philip J. Davis
Publisher: Courier Corporation
ISBN: 0486624951
Category : Mathematics
Languages : en
Pages : 418
Book Description
Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.
Publisher: Courier Corporation
ISBN: 0486624951
Category : Mathematics
Languages : en
Pages : 418
Book Description
Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.
Algebraic Approximation: A Guide to Past and Current Solutions
Author: Jorge Bustamante
Publisher: Springer Science & Business Media
ISBN: 3034801947
Category : Mathematics
Languages : en
Pages : 212
Book Description
This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.
Publisher: Springer Science & Business Media
ISBN: 3034801947
Category : Mathematics
Languages : en
Pages : 212
Book Description
This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.
Approximation of Functions by Polynomials and Splines
Author: S. B. Stechkin
Publisher: American Mathematical Soc.
ISBN: 9780821830499
Category : Mathematics
Languages : en
Pages : 280
Book Description
Papers and articles about polynomials and splines pproximation.
Publisher: American Mathematical Soc.
ISBN: 9780821830499
Category : Mathematics
Languages : en
Pages : 280
Book Description
Papers and articles about polynomials and splines pproximation.
Theory of Approximation of Functions of a Real Variable
Author: A. F. Timan
Publisher: Elsevier
ISBN: 1483184811
Category : Mathematics
Languages : en
Pages : 644
Book Description
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.
Publisher: Elsevier
ISBN: 1483184811
Category : Mathematics
Languages : en
Pages : 644
Book Description
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.
Constructive Function Theory: Uniform approximation
Author: Isidor Pavlovich Natanson
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 252
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 252
Book Description