图书介绍

Bernstein Polynomials【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

G.G.Lorentz 著
出版社：
ISBN：
出版时间：1953
标注页数：130页
文件大小：29MB
文件页数：136页
主题词：

PDF下载

点此进入-本书在线PDF格式电子书下载【推荐-云解压-方便快捷】直接下载PDF格式图书。移动端-PC端通用
种子下载[BT下载速度快]温馨提示：（请使用BT下载软件FDM进行下载）软件下载地址页直链下载[便捷但速度慢] [在线试读本书] [在线获取解压码]

点击复制MD5值：aa8975edbfc3b76b21f0a7a7d5abc748

下载说明

Bernstein PolynomialsPDF格式电子书版下载

下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。

点击复制85GB完整离线版磁力链接到迅雷FDM等BT下载工具进行下载详情点击-查看共享计划

建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！

（文件页数要大于标注页数，上中下等多册电子书除外）

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

图书目录

INTRODUCTION3

0．1 Introduction3

Ⅰ．BERNSTEIN POLYNOMIALS IN REAL DOMAIN5

1．1 The theorem of Weierstrass5

1．2 Other proofs of the theorem of Weierstrass7

1．3 Generalizations of the theorem of Weierstrass9

1．4 Derivatives of the Bernstein polynomials12

1．5 Estimations and lemmas13

1．6 The degree of approximation by Bernstein polynomials19

1．6．1 Asymptotic formulae22

1．7 Monotone functions,convex functions,and functions of bounded variation23

1．8 Further theorems on derivatives25

1．9 Discontinuous functions27

Ⅱ．GENERALIZATIONS OF BERNSTEIN POLYNOMIALS30

2．1 Approximation of integrable functions30

2．2 Approximation of measurable functions34

2．3 Bernstein polynomials on an unbounded interval36

2．4 General methods of summation37

2．5 Euler methods of summation41

2．6 Degenerate Bernstein polynomials43

2．7 Divided differences and generalized pnv(x)44

2．8 Approximation by linear aggregates of functions xa46

2．9 Some further generalizations48

Ⅲ．SPACES OF FUNCTIONS AND MOMENT PROBLEMS52

3．1 Banach spaces52

3．2 Functionals and moment problems53

3．3 Moment problems with Stieltjes integrals57

3．4 Rearrangements of functions59

3．5 Spaces A and M．Other spaces of integrable functions65

3．6 Inequalities for spaces A68

3．7 Continuous linear functionals in spaces A and A×72

3．7．1 Spaces M(φ,p) as conjugate spaces75

3．8 Moment problems for integrable functions77

3．9 Hausdorff methods of summation81

Ⅳ．BERNSTEIN POLYNOMIALS OF ANALYTIC FUNCTIONS87

4．1 Preliminary theorems87

4．2 Contour integrals and asymptotic formulae92

4．3 The loop L？ and its properties94

4．3．1 Further properties of the loop100

4．4 The fundamental convergence theorem104

4．5 Sets of convergence and autonomous sets107

4．6 Examples of autonomous sets and sets of convergence110

4．7 Functions analytic on a part of the interval [0,1]116

4．8 Summation of power series117

4．9 Degenerate Bernstein polynomials in the complex domain121

BIBLIOGRAPHY125

INDEX129