n-Widths in Approximation Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1985
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
7 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | My original introduction to this subject was through conservations, and ultimate ly joint work with C. A. Micchelli. I am grateful to him and to Profs. C. de Boor, E. W. Cheney, S. D. Fisher and A. A. Melkman who read various portions of the manuscript and whose suggestions were most helpful. Errors in accuracy and omissions are totally my responsibility. I would like to express my appreciation to the SERC of Great Britain and to the Department of Mathematics of the University of Lancaster for the year spent there during which large portions of the manuscript were written, and also to the European Research Office of the U.S. Army for its financial support of my research endeavors. Thanks are also due to Marion Marks who typed portions of the manuscript. Haifa, 1984 Allan Pinkus Table of Contents 1 Chapter I. Introduction . . . . . . . . Chapter II. Basic Properties of n-Widths . 9 1. Properties of d • • • • • • • • • • 9 n 15 2. Existence of Optimal Subspaces for d • n n 17 3. Properties of d • • • • • • 20 4. Properties of b • • • • • • n 5. Inequalities Between n-Widths 22 n 6. Duality Between d and d • • 27 n 7. n-Widths of Mappings of the Unit Ball 29 8. Some Relationships Between dn(T), dn(T) and bn(T) . 32 37 Notes and References . . . . . . . . . . . . . |
| Beschreibung: | 1 Online-Ressource (X, 294 p) |
| ISBN: | 9783642698941 9783642698965 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-69894-1 |
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Datensatz im Suchindex
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| author | Pinkus, Allan |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-69894-1 |
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| id | DE-604.BV042422947 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642698941 9783642698965 |
| issn | 0071-1136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858364 |
| oclc_num | 863790279 |
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| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| spelling | Pinkus, Allan Verfasser aut n-Widths in Approximation Theory by Allan Pinkus Berlin, Heidelberg Springer Berlin Heidelberg 1985 1 Online-Ressource (X, 294 p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 7 0071-1136 My original introduction to this subject was through conservations, and ultimate ly joint work with C. A. Micchelli. I am grateful to him and to Profs. C. de Boor, E. W. Cheney, S. D. Fisher and A. A. Melkman who read various portions of the manuscript and whose suggestions were most helpful. Errors in accuracy and omissions are totally my responsibility. I would like to express my appreciation to the SERC of Great Britain and to the Department of Mathematics of the University of Lancaster for the year spent there during which large portions of the manuscript were written, and also to the European Research Office of the U.S. Army for its financial support of my research endeavors. Thanks are also due to Marion Marks who typed portions of the manuscript. Haifa, 1984 Allan Pinkus Table of Contents 1 Chapter I. Introduction . . . . . . . . Chapter II. Basic Properties of n-Widths . 9 1. Properties of d • • • • • • • • • • 9 n 15 2. Existence of Optimal Subspaces for d • n n 17 3. Properties of d • • • • • • 20 4. Properties of b • • • • • • n 5. Inequalities Between n-Widths 22 n 6. Duality Between d and d • • 27 n 7. n-Widths of Mappings of the Unit Ball 29 8. Some Relationships Between dn(T), dn(T) and bn(T) . 32 37 Notes and References . . . . . . . . . . . . . Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik Normierter Raum (DE-588)4127735-1 gnd rswk-swf Beste Approximation (DE-588)4144932-0 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf n-Durchmesser (DE-588)4171355-2 gnd rswk-swf Vektorraum (DE-588)4130622-3 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 s n-Durchmesser (DE-588)4171355-2 s 1\p DE-604 Approximation (DE-588)4002498-2 s Normierter Raum (DE-588)4127735-1 s 2\p DE-604 Beste Approximation (DE-588)4144932-0 s Vektorraum (DE-588)4130622-3 s 3\p DE-604 https://doi.org/10.1007/978-3-642-69894-1 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pinkus, Allan n-Widths in Approximation Theory Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik Normierter Raum (DE-588)4127735-1 gnd Beste Approximation (DE-588)4144932-0 gnd Approximation (DE-588)4002498-2 gnd n-Durchmesser (DE-588)4171355-2 gnd Vektorraum (DE-588)4130622-3 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4127735-1 (DE-588)4144932-0 (DE-588)4002498-2 (DE-588)4171355-2 (DE-588)4130622-3 (DE-588)4120913-8 |
| title | n-Widths in Approximation Theory |
| title_auth | n-Widths in Approximation Theory |
| title_exact_search | n-Widths in Approximation Theory |
| title_full | n-Widths in Approximation Theory by Allan Pinkus |
| title_fullStr | n-Widths in Approximation Theory by Allan Pinkus |
| title_full_unstemmed | n-Widths in Approximation Theory by Allan Pinkus |
| title_short | n-Widths in Approximation Theory |
| title_sort | n widths in approximation theory |
| topic | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik Normierter Raum (DE-588)4127735-1 gnd Beste Approximation (DE-588)4144932-0 gnd Approximation (DE-588)4002498-2 gnd n-Durchmesser (DE-588)4171355-2 gnd Vektorraum (DE-588)4130622-3 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik Normierter Raum Beste Approximation Approximation n-Durchmesser Vektorraum Approximationstheorie |
| url | https://doi.org/10.1007/978-3-642-69894-1 |
| work_keys_str_mv | AT pinkusallan nwidthsinapproximationtheory |