Constructive function theory: 3 Interpolation and approximation quadratures
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Ungar
1965
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 176 S. |
Staff View
MARC
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| 100 | 1 | |a Natanson, Isidor P. |d 1906-1964 |e Verfasser |0 (DE-588)1014768527 |4 aut | |
| 245 | 1 | 0 | |a Constructive function theory |n 3 |p Interpolation and approximation quadratures |c I. P. Natanson |
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Record in the Search Index
| _version_ | 1804119896674533376 |
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| adam_text | CONTENTS
Chapter I. Various Methods op Interpolation
1. The Problem 7
2 The Lagrange Formula 8
3. A Rearrangement of the Lagrange Formula —
Newton s Formula 11
4. Interpolation with Multiple Nodes 15
5. Trigonometric Interpolation 18
Chapter II. Theorems of Negative Character
1. The Theorems of S. N. Bernstein and G. Faber 23
2. The Bernstein Example 30
3. An Example Due to Marcinkiewicz 35
Chapter III. The Convergence of Interpolation Processes
1. The Role of the Function Xn(x) 47
2. The Theorems of Grunwald and Ttjran 51
3. Convergence in Mean 55
4. The Fejer Interpolation Process 57
5. Generalization of the Preceding Results 59
6. Normal Matrices 62
Chapter IV. Several Convergence Processes Related
to Interpolation
1. The First Bernstein Procedure 68
2. The Second Bernstein Procedure 72
3. A Theorem of S. M. Losinski and the Method
of S. J. Rappoport 76
4. The Third Bernstein Procedure 79
5. Certain General Properties of Summation Formulas 86
CONTENTS
Chapter V. Approximation Quadratures
1. The Problem 93
2. The Remainder in the Quadrature Formula 97
3. Quadratures of Gaussian Type 102
4. Special Quadratures of Gaussian Type 108
Chapter VI. Supplement to the Theory of Approximation
Quadratures
1. The General Quadrature Process and its Convergence 117
2. Quadratures with Positive Coefficients 125
3. A Theorem Due to R. O. Kusmin 129
4. The Tchebysheff Problem and a Bernstein Theorem 136
5. The Posse Theorem 150
Appendix 1. Stirling s Formula 156
Appendix 2. On the Muntz Theorems 160
Appendix 3. The Theorems of S. M. Losinski—F. I. Kharshiladze
AND V. F. NlKOLAEV 164
Bibliography 170
Index 175
Index of Symbols 176
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| id | DE-604.BV005710628 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003567307 |
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| physical | 176 S. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Ungar |
| record_format | marc |
| spelling | Natanson, Isidor P. 1906-1964 Verfasser (DE-588)1014768527 aut Constructive function theory 3 Interpolation and approximation quadratures I. P. Natanson New York Ungar 1965 176 S. txt rdacontent n rdamedia nc rdacarrier (DE-604)BV005710625 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003567307&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Natanson, Isidor P. 1906-1964 Constructive function theory |
| title | Constructive function theory |
| title_auth | Constructive function theory |
| title_exact_search | Constructive function theory |
| title_full | Constructive function theory 3 Interpolation and approximation quadratures I. P. Natanson |
| title_fullStr | Constructive function theory 3 Interpolation and approximation quadratures I. P. Natanson |
| title_full_unstemmed | Constructive function theory 3 Interpolation and approximation quadratures I. P. Natanson |
| title_short | Constructive function theory |
| title_sort | constructive function theory interpolation and approximation quadratures |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003567307&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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