Interpolation and approximation by polynomials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2003
|
| Series: | CMS books in mathematics
14 |
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 305 - 308 |
| Physical Description: | XIV, 312 S. graph. Darst. |
| ISBN: | 0387002154 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface vii
1 Univariate Interpolation 1
1.1 Introduction 1
1.2 The Vandermonde Equations 16
1.3 Forward Differences 28
1.4 Central Differences 40
1.5 q Differences 43
2 Best Approximation 49
2.1 The Legendre Polynomials 49
2.2 The Chebyshev Polynomials 64
2.3 Finite Point Sets 82
2.4 Minimax Approximation 87
2.5 The Lebesgue Function 100
2.6 The Modulus of Continuity 116
3 Numerical Integration 119
3.1 Interpolatory Rules 119
3.2 The Euler Maclaurin Formula 133
3.3 Gaussian Rules 143
4 Peano s Theorem and Applications 147
4.1 Peano Kernels 147
xiv Contents
4.2 Further Properties 153
5 Multivariate Interpolation 163
5.1 Rectangular Regions 163
5.2 Triangular Regions 176
5.3 Integration on the Triangle 188
5.4 Interpolation on the g Integers 195
6 Splines 215
6.1 Introduction 215
6.2 B Splines 218
6.3 Equally Spaced Knots 229
6.4 Knots at the ^ Integers 239
7 Bernstein Polynomials 247
7.1 Introduction 247
7.2 The Monotone Operator Theorem 263
7.3 On the g Integers 267
7.4 Total Positivity 274
7.5 Further Results 280
8 Properties of the ^ Integers 291
8.1 The g Integers 291
8.2 Gaussian Polynomials 296
References 305
Index 309
|
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| indexdate | 2024-07-09T19:12:21Z |
| institution | BVB |
| isbn | 0387002154 |
| language | English |
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| series2 | CMS books in mathematics |
| spelling | Phillips, George M. 1938- Verfasser (DE-588)124677940 aut Interpolation and approximation by polynomials George M. Phillips New York [u.a.] Springer 2003 XIV, 312 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CMS books in mathematics 14 Literaturverz. S. 305 - 308 Analyse numérique Análisis numérico Approximation, Théorie de l' Numerical analysis Approximation theory Polynomapproximation (DE-588)4197097-4 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s DE-604 Polynomapproximation (DE-588)4197097-4 s CMS books in mathematics 14 (DE-604)BV013248581 14 http://www.loc.gov/catdir/toc/fy038/2002042735.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Phillips, George M. 1938- Interpolation and approximation by polynomials CMS books in mathematics Analyse numérique Análisis numérico Approximation, Théorie de l' Numerical analysis Approximation theory Polynomapproximation (DE-588)4197097-4 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4197097-4 (DE-588)4042805-9 |
| title | Interpolation and approximation by polynomials |
| title_auth | Interpolation and approximation by polynomials |
| title_exact_search | Interpolation and approximation by polynomials |
| title_full | Interpolation and approximation by polynomials George M. Phillips |
| title_fullStr | Interpolation and approximation by polynomials George M. Phillips |
| title_full_unstemmed | Interpolation and approximation by polynomials George M. Phillips |
| title_short | Interpolation and approximation by polynomials |
| title_sort | interpolation and approximation by polynomials |
| topic | Analyse numérique Análisis numérico Approximation, Théorie de l' Numerical analysis Approximation theory Polynomapproximation (DE-588)4197097-4 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Analyse numérique Análisis numérico Approximation, Théorie de l' Numerical analysis Approximation theory Polynomapproximation Numerische Mathematik |
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