Edition:

2

Publisher:

AMS

Number of Pages:

259

Price:

30.00

ISBN:

0821813749

Date Received:

Saturday, January 1, 2000

Reviewable:

Yes

Series:

AMS Chelsea Publishing

Publication Date:

2000

Format:

Hardcover

Category:

Textbook

BLL Committee

01/24/2009

Introduction

* 1 Examples and prospectus

* 2 Metric spaces

* 3 Normed linear spaces

* 4 Inner-product spaces

* 5 Convexity

* 6 Existence and unicity of best approximations

* 7 Convex functions

The Tchebycheff Solution of Inconsistent Linear Equations

* 1 Introduction

* 2 Systems of equations with one unknown

* 3 Characterization of the solution

* 4 The special case

* 5 PÂ¢lya's algorithm

* 6 The ascent algorithm

* 7 The descent algorithm

* 8 Convex programming

Tchebycheff Approximation by Polynomials and Other Linear Families

* 1 Introduction

* 2 Interpolation

* 3 The Weierstrass theorem

* 4 General linear families

* 5 the unicity problem

* 6 Discretization errors: General theory

* 7 Discretization: Algebraic polynomials. The inequalities of Markoff and Bernstein

* 8 Algorithms

Least-squares Approximation and Related Topics

* 1 Introduction

* 2 Orthogonal systems of polynomials

* 3 Convergence of orthogonal expansions

* 4 Approximation by series of Tchebycheff polynomials

* 5 Discrete least-squares approximation

* 6 The Jackson theorems

Rational Approximation

* 1 Introduction

* 2 Existence of best rational approximations

* 3 The characterization of best approximations

* 4 Unicity; Continuity of best-approximation operators

* 5 Algorithms

* 6 Padâ€š Approximation and its generalizations

* 7 Continued fractions

Some Additional Topics

* 1 The Stone approximation theorem

* 2 The MÂntz theorem

* 3 The converses of the Jackson theorems

* 4 Polygonal approximation and bases in $C[a, b]$

* 5 The Kharshiladze-Lozinski theorems

* 6 Approximation in the mean

* Notes

* References

* Index

* 1 Examples and prospectus

* 2 Metric spaces

* 3 Normed linear spaces

* 4 Inner-product spaces

* 5 Convexity

* 6 Existence and unicity of best approximations

* 7 Convex functions

The Tchebycheff Solution of Inconsistent Linear Equations

* 1 Introduction

* 2 Systems of equations with one unknown

* 3 Characterization of the solution

* 4 The special case

* 5 PÂ¢lya's algorithm

* 6 The ascent algorithm

* 7 The descent algorithm

* 8 Convex programming

Tchebycheff Approximation by Polynomials and Other Linear Families

* 1 Introduction

* 2 Interpolation

* 3 The Weierstrass theorem

* 4 General linear families

* 5 the unicity problem

* 6 Discretization errors: General theory

* 7 Discretization: Algebraic polynomials. The inequalities of Markoff and Bernstein

* 8 Algorithms

Least-squares Approximation and Related Topics

* 1 Introduction

* 2 Orthogonal systems of polynomials

* 3 Convergence of orthogonal expansions

* 4 Approximation by series of Tchebycheff polynomials

* 5 Discrete least-squares approximation

* 6 The Jackson theorems

Rational Approximation

* 1 Introduction

* 2 Existence of best rational approximations

* 3 The characterization of best approximations

* 4 Unicity; Continuity of best-approximation operators

* 5 Algorithms

* 6 Padâ€š Approximation and its generalizations

* 7 Continued fractions

Some Additional Topics

* 1 The Stone approximation theorem

* 2 The MÂntz theorem

* 3 The converses of the Jackson theorems

* 4 Polygonal approximation and bases in $C[a, b]$

* 5 The Kharshiladze-Lozinski theorems

* 6 Approximation in the mean

* Notes

* References

* Index

Publish Book:

Modify Date:

Saturday, January 24, 2009

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