Boolean methods in interpolation and approximation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman Scientific
1989
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
230 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 168 S. |
| ISBN: | 0582062632 |
Staff View
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| 650 | 7 | |a algèbre Boole |2 inriac | |
| 650 | 7 | |a analyse Fourier |2 inriac | |
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| 650 | 7 | |a spline |2 inriac | |
| 650 | 7 | |a théorie approximation |2 inriac | |
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| 650 | 4 | |a Approximation theory | |
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Record in the Search Index
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| adam_text | Contents
Foreword
1. Lattices of projectors 1
1.1 Commuting projectors 1
1.2 Construction of projector lattices 5
1.3 Chains of projectors 12
1.4 Construction of Boolean algebras of projectors 15
2. Interpolation projectors 19
2.1 Closed ideals 19
2.2 Precision sets 25
2.3 Lattices of interpolation projectors 29
3. The method of parametric extension 33
3.1 The Dieudonne theorem 33
3.2 Tensor product operators 35
3.3 Parametric extensions of projectors 40
4. Projectors and right inverses 45
4.1 Construction of right invertible operators 45
4.2 The abstract Taylor formula 49
4.3 Parametric extensions of right invertible operators 54
4.4 Tensor products of right invertible operators 60
4.5 A bivariate Taylor formula 66
5. Boolean bivariate polynomial interpolation 70
5.1 Biermann interpolation 70
5.2 Triangular elements 76
5.3 Rectangular elements 79
5.4 The univariate interpolation error 82
5.5 The error in polynomial blending and tensor product interpolation 85
5.6 The error in Biermann interpolation 88
6. Boolean bivariate spline interpolation 94
6.1 Univariate spline interpolation 94
6.2 Spline blending and tensor product interpolation 97
6.3 r th order spline blending interpolation 100
7. Boolean Fourier approximation 107
7.1 The Korobov space Ea(J) 107
7.2 Univariate Fourier approximation 116
7.3 The bivariate Korobov space 120
7.4 Fourier tensor product approximation 129
7.5 Fourier blending approximation 135
7.6 Discrete Fourier blending approximation 138
7.7 Hyperbolic Fourier approximation 142
7.8 Pseudo hyperbolic Fourier approximation 149
8. Boolean cubature 154
8.1 Splines and the trapezoidal rule 154
8.2 Bivariate splines and the tensor product trapezoidal rule 157
8.3 r th order blending cubature 160
References 164
|
| any_adam_object | 1 |
| author | Delvos, Franz J. Schempp, Walter Johannes 1938- |
| author_GND | (DE-588)13400874X |
| author_facet | Delvos, Franz J. Schempp, Walter Johannes 1938- |
| author_role | aut aut |
| author_sort | Delvos, Franz J. |
| author_variant | f j d fj fjd w j s wj wjs |
| building | Verbundindex |
| bvnumber | BV004159404 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 470 |
| classification_tum | MAT 410f |
| ctrlnum | (OCoLC)20265664 (DE-599)BVBBV004159404 |
| dewey-full | 511/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.42 |
| dewey-search | 511/.42 |
| dewey-sort | 3511 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV004159404 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:09:14Z |
| institution | BVB |
| isbn | 0582062632 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002593961 |
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| physical | 168 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Longman Scientific |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Delvos, Franz J. Verfasser aut Boolean methods in interpolation and approximation F.-J. Delvos and W. Schempp 1. publ. Harlow Longman Scientific 1989 168 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 230 Approximation, Théorie de l' ram Benaderingen (wiskunde) gtt Boole, Algèbre de ram Booleaanse algebra gtt Interpolatie gtt Interpolation ram algèbre Boole inriac analyse Fourier inriac interpolation inriac spline inriac théorie approximation inriac Algebra, Boolean Approximation theory Interpolation Approximation (DE-588)4002498-2 gnd rswk-swf Interpolation (DE-588)4162121-9 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 s Approximation (DE-588)4002498-2 s DE-604 Interpolation (DE-588)4162121-9 s Approximationstheorie (DE-588)4120913-8 s Schempp, Walter Johannes 1938- Verfasser (DE-588)13400874X aut Pitman research notes in mathematics series 230 (DE-604)BV000022845 230 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593961&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Delvos, Franz J. Schempp, Walter Johannes 1938- Boolean methods in interpolation and approximation Pitman research notes in mathematics series Approximation, Théorie de l' ram Benaderingen (wiskunde) gtt Boole, Algèbre de ram Booleaanse algebra gtt Interpolatie gtt Interpolation ram algèbre Boole inriac analyse Fourier inriac interpolation inriac spline inriac théorie approximation inriac Algebra, Boolean Approximation theory Interpolation Approximation (DE-588)4002498-2 gnd Interpolation (DE-588)4162121-9 gnd Boolesche Algebra (DE-588)4146280-4 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4162121-9 (DE-588)4146280-4 (DE-588)4120913-8 |
| title | Boolean methods in interpolation and approximation |
| title_auth | Boolean methods in interpolation and approximation |
| title_exact_search | Boolean methods in interpolation and approximation |
| title_full | Boolean methods in interpolation and approximation F.-J. Delvos and W. Schempp |
| title_fullStr | Boolean methods in interpolation and approximation F.-J. Delvos and W. Schempp |
| title_full_unstemmed | Boolean methods in interpolation and approximation F.-J. Delvos and W. Schempp |
| title_short | Boolean methods in interpolation and approximation |
| title_sort | boolean methods in interpolation and approximation |
| topic | Approximation, Théorie de l' ram Benaderingen (wiskunde) gtt Boole, Algèbre de ram Booleaanse algebra gtt Interpolatie gtt Interpolation ram algèbre Boole inriac analyse Fourier inriac interpolation inriac spline inriac théorie approximation inriac Algebra, Boolean Approximation theory Interpolation Approximation (DE-588)4002498-2 gnd Interpolation (DE-588)4162121-9 gnd Boolesche Algebra (DE-588)4146280-4 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximation, Théorie de l' Benaderingen (wiskunde) Boole, Algèbre de Booleaanse algebra Interpolatie Interpolation algèbre Boole analyse Fourier interpolation spline théorie approximation Algebra, Boolean Approximation theory Approximation Boolesche Algebra Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593961&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
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