Optimal quadrature formulas:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
Teubner
1979
|
| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 124 S. |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804116743212236800 |
|---|---|
| adam_text | CONTENTS
Introduction 5
Chapter 1. Monosplines and Quadrature Formulas 8
1.1. Statement of Optimization Problems 8
1.2. Boundary Conditions 9
1.3. Sets of Functions in One Variable 16
1.4. Monosplines 17
1.5. Auxiliary Lemmas 18
1.6. Basic Theorem 22
1.7. Quadrature Formulas of Markov s Type 27
1.8. Monospline of Least Deviation from Zero
with Prescribed Knots 29
Chapter 2. One Dimensional Optimal Quadrature Formulas .. 34
2.1. Markov s Systems 34
2.2. Algebraical Polynomials of Least Deviation
from Zero 36
2.3. Optimal Q.F. for the Set W^L 39
2.4. Optimal Q.F. for the Set W? _ L 47
2.5. Optimal Q.F. for the Set WrL 50
Chapter 3. Optimal Quadrature Formulas for Periodic
Functions 55
3.1. Bernoulli Polynomials and Associated Functions. 55
3.2. The Best Q.F. with Equidistant Nodes for WrL .. 58
3.3. Closure of the Set of Monosplines with
Free Knots 61
3.4. Properties of Optimal Q.F. s 64
3.5. Existence of Optimal Q.F 75
3.6. Construction of Optimal Q.F 80
3.7. Modified Euler Maeiaurin Q.F 84
Chapter 4. Optimal Two Dimensional Quadrature Formulas... 87
4.1. Statement of Optimization Problems and
Sets of Functions + 87
4.2. Optimal Q.F. for the Set W^L 90
V 4
4.3. Polynomials in Two Variables of Least
Deviation from Zero in L, 94
4.4. Green s Functions 97
4.5. Optimal Two Dimensional Q.F. for the Set w|l2... 101
Chapter 5. Asymptotically Optimal Quadrature Formulas .... 107
5.1. Statement of Problem 107
5.2. Modified Gregory s Q.F 107
5.3. Two Dimensional Modified Gregory s Q.F 113
Bibliography 115
Index of Symbols 121
|
| any_adam_object | 1 |
| author | Levin, Mejše Giršovič, Jurij |
| author_facet | Levin, Mejše Giršovič, Jurij |
| author_role | aut aut |
| author_sort | Levin, Mejše |
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| building | Verbundindex |
| bvnumber | BV002284049 |
| classification_rvk | SK 910 |
| ctrlnum | (OCoLC)252478924 (DE-599)BVBBV002284049 |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| id | DE-604.BV002284049 |
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| indexdate | 2024-07-09T15:43:21Z |
| institution | BVB |
| language | English |
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| physical | 124 S. |
| psigel | TUB-nvmb |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Teubner |
| record_format | marc |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Levin, Mejše Verfasser aut Optimal quadrature formulas Meishe Levin ; Jury Girshovich 1. Aufl. Leipzig Teubner 1979 124 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik Numerische Integration (DE-588)4172168-8 gnd rswk-swf Quadratische Form (DE-588)4128297-8 gnd rswk-swf Quadraturformel (DE-588)4295299-2 gnd rswk-swf Numerische Integration (DE-588)4172168-8 s DE-604 Quadraturformel (DE-588)4295299-2 s 1\p DE-604 Quadratische Form (DE-588)4128297-8 s 2\p DE-604 Giršovič, Jurij Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001501065&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Levin, Mejše Giršovič, Jurij Optimal quadrature formulas Numerische Integration (DE-588)4172168-8 gnd Quadratische Form (DE-588)4128297-8 gnd Quadraturformel (DE-588)4295299-2 gnd |
| subject_GND | (DE-588)4172168-8 (DE-588)4128297-8 (DE-588)4295299-2 |
| title | Optimal quadrature formulas |
| title_auth | Optimal quadrature formulas |
| title_exact_search | Optimal quadrature formulas |
| title_full | Optimal quadrature formulas Meishe Levin ; Jury Girshovich |
| title_fullStr | Optimal quadrature formulas Meishe Levin ; Jury Girshovich |
| title_full_unstemmed | Optimal quadrature formulas Meishe Levin ; Jury Girshovich |
| title_short | Optimal quadrature formulas |
| title_sort | optimal quadrature formulas |
| topic | Numerische Integration (DE-588)4172168-8 gnd Quadratische Form (DE-588)4128297-8 gnd Quadraturformel (DE-588)4295299-2 gnd |
| topic_facet | Numerische Integration Quadratische Form Quadraturformel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001501065&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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