Weighted approximation with varying weight:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
|
| Series: | Lecture notes in mathematics
1569 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 114 S. |
| ISBN: | 354057705X 038757705X |
Staff View
MARC
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| 100 | 1 | |a Totik, Vilmos |d 1954- |e Verfasser |0 (DE-588)111480485 |4 aut | |
| 245 | 1 | 0 | |a Weighted approximation with varying weight |c Vilmos Totik |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a VI, 114 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1569 | |
| 650 | 4 | |a Approximation, Théorie de l' | |
| 650 | 7 | |a Approximation, Théorie de l' |2 ram | |
| 650 | 7 | |a Benaderingen (wiskunde) |2 gtt | |
| 650 | 7 | |a Polynomen |2 gtt | |
| 650 | 4 | |a Polynômes | |
| 650 | 7 | |a Polynômes |2 ram | |
| 650 | 7 | |a analyse Fourier |2 inriac | |
| 650 | 7 | |a approximation Padé |2 inriac | |
| 650 | 7 | |a approximation polynomiale |2 inriac | |
| 650 | 7 | |a approximation pondérée |2 inriac | |
| 650 | 7 | |a degré approximation |2 inriac | |
| 650 | 7 | |a inégalité |2 inriac | |
| 650 | 7 | |a polynôme |2 inriac | |
| 650 | 7 | |a théorie potentiel |2 inriac | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Polynomials | |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gewichtete Polynomapproximation |0 (DE-588)4197098-6 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1805082761770303488 |
|---|---|
| adam_text |
Contents
1 Introduction 1
1 Freud weights 7
2 Short proof for the approximation problem for Freud weights 7
3 Strong asymptotics 10
3.1 The upper estimate 14
3.2 The lower estimate 17
3.3 The IS case 19
II Approximation with general weights 21
4 A general approximation theorem 21
4.1 Statement of the main results 21
4.2 Examples and historical notes 23
5 Preliminaries to the proofs 25
6 Proof of Theorems 4.1, 4.2 and 4.3 32
7 Construction of Examples 4.5 and 4.6 38
7.1 Example 4.5 ¦. 38
7.2 Example 4.6 44
III Varying weights 49
8 Uniform approximation by weighted polynomials with varying
weights 49
9 Modification of the method 57
The lower estimate 59
The upper estimate 60
The asymptotic estimate 64
10 Approximation in geometric means 70
IV Applications 79
11 Fast decreasing polynomials 79
12 Approximation by W(anx)Pn(x) 85
vi
13 Extremal problems with varying weights 91
14 Asymptotic properties of orthogonal polynomials with varying
weights 95
15 Freud weights revisited 103
16 Multipoint Pade approximation 106
17 Concluding remarks 109
References 111
Index 115 |
| any_adam_object | 1 |
| author | Totik, Vilmos 1954- |
| author_GND | (DE-588)111480485 |
| author_facet | Totik, Vilmos 1954- |
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| dewey-full | 511/.42 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics 510 - Mathematics |
| dewey-raw | 511/.42 510 |
| dewey-search | 511/.42 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:37:48Z |
| institution | BVB |
| isbn | 354057705X 038757705X |
| language | English |
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| physical | VI, 114 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Totik, Vilmos 1954- Verfasser (DE-588)111480485 aut Weighted approximation with varying weight Vilmos Totik Berlin u.a. Springer 1994 VI, 114 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1569 Approximation, Théorie de l' Approximation, Théorie de l' ram Benaderingen (wiskunde) gtt Polynomen gtt Polynômes Polynômes ram analyse Fourier inriac approximation Padé inriac approximation polynomiale inriac approximation pondérée inriac degré approximation inriac inégalité inriac polynôme inriac théorie potentiel inriac Approximation theory Polynomials Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Gewichtete Polynomapproximation (DE-588)4197098-6 gnd rswk-swf Gewichtete Polynomapproximation (DE-588)4197098-6 s DE-604 Approximationstheorie (DE-588)4120913-8 s Lecture notes in mathematics 1569 (DE-604)BV000676446 1569 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005606763&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Totik, Vilmos 1954- Weighted approximation with varying weight Lecture notes in mathematics Approximation, Théorie de l' Approximation, Théorie de l' ram Benaderingen (wiskunde) gtt Polynomen gtt Polynômes Polynômes ram analyse Fourier inriac approximation Padé inriac approximation polynomiale inriac approximation pondérée inriac degré approximation inriac inégalité inriac polynôme inriac théorie potentiel inriac Approximation theory Polynomials Approximationstheorie (DE-588)4120913-8 gnd Gewichtete Polynomapproximation (DE-588)4197098-6 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4197098-6 |
| title | Weighted approximation with varying weight |
| title_auth | Weighted approximation with varying weight |
| title_exact_search | Weighted approximation with varying weight |
| title_full | Weighted approximation with varying weight Vilmos Totik |
| title_fullStr | Weighted approximation with varying weight Vilmos Totik |
| title_full_unstemmed | Weighted approximation with varying weight Vilmos Totik |
| title_short | Weighted approximation with varying weight |
| title_sort | weighted approximation with varying weight |
| topic | Approximation, Théorie de l' Approximation, Théorie de l' ram Benaderingen (wiskunde) gtt Polynomen gtt Polynômes Polynômes ram analyse Fourier inriac approximation Padé inriac approximation polynomiale inriac approximation pondérée inriac degré approximation inriac inégalité inriac polynôme inriac théorie potentiel inriac Approximation theory Polynomials Approximationstheorie (DE-588)4120913-8 gnd Gewichtete Polynomapproximation (DE-588)4197098-6 gnd |
| topic_facet | Approximation, Théorie de l' Benaderingen (wiskunde) Polynomen Polynômes analyse Fourier approximation Padé approximation polynomiale approximation pondérée degré approximation inégalité polynôme théorie potentiel Approximation theory Polynomials Approximationstheorie Gewichtete Polynomapproximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005606763&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT totikvilmos weightedapproximationwithvaryingweight |