Discrepancy of Signed Measures and Polynomial Approximation:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4757-4999-1 |
| Beschreibung: | The book is an authoritative and up-to-date introduction to the field of Analysis and Potential Theory dealing with the distribution zeros of classical systems of polynomials such as orthogonal polynomials, Chebyshev, Fekete and Bieberbach polynomials, best or near-best approximating polynomials on compact sets and on the real line. The main feature of the book is the combination of potential theory with conformal invariants, such as module of a family of curves and harmonic measure, to derive discrepancy estimates for signed measures if bounds for their logarithmic potentials or energy integrals are known a priori. Classical results of Jentzsch and Szegö for the zero distribution of partial sums of power series can be recovered and sharpened by new discrepany estimates, as well as distribution results of Erdös and Turn for zeros of polynomials bounded on compact sets in the complex plane. Vladimir V. Andrievskii is Assistant Professor of Mathematics at Kent State University. Hans-Peter Blatt is Full Professor of Mathematics at Katholische Universität Eichstätt |
| Umfang: | 1 Online-Ressource (XIV, 438 p) |
| ISBN: | 9781475749991 9781441931467 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-1-4757-4999-1 |
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| id | DE-604.BV042421641 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:45Z |
| institution | BVB |
| isbn | 9781475749991 9781441931467 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857058 |
| oclc_num | 864104779 |
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| physical | 1 Online-Ressource (XIV, 438 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Springer Monographs in Mathematics |
| spellingShingle | Andrievskii, Vladimir V. Discrepancy of Signed Measures and Polynomial Approximation Mathematics Global analysis (Mathematics) Analysis Mathematik Maß Mathematik (DE-588)4037856-1 gnd Potenzialtheorie (DE-588)4046939-6 gnd Polynomapproximation (DE-588)4197097-4 gnd Approximationstheorie (DE-588)4120913-8 gnd Diskrepanz (DE-588)4499634-2 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4037856-1 (DE-588)4046939-6 (DE-588)4197097-4 (DE-588)4120913-8 (DE-588)4499634-2 (DE-588)4172863-4 |
| title | Discrepancy of Signed Measures and Polynomial Approximation |
| title_auth | Discrepancy of Signed Measures and Polynomial Approximation |
| title_exact_search | Discrepancy of Signed Measures and Polynomial Approximation |
| title_full | Discrepancy of Signed Measures and Polynomial Approximation by Vladimir V. Andrievskii, Hans-Peter Blatt |
| title_fullStr | Discrepancy of Signed Measures and Polynomial Approximation by Vladimir V. Andrievskii, Hans-Peter Blatt |
| title_full_unstemmed | Discrepancy of Signed Measures and Polynomial Approximation by Vladimir V. Andrievskii, Hans-Peter Blatt |
| title_short | Discrepancy of Signed Measures and Polynomial Approximation |
| title_sort | discrepancy of signed measures and polynomial approximation |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Maß Mathematik (DE-588)4037856-1 gnd Potenzialtheorie (DE-588)4046939-6 gnd Polynomapproximation (DE-588)4197097-4 gnd Approximationstheorie (DE-588)4120913-8 gnd Diskrepanz (DE-588)4499634-2 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Maß Mathematik Potenzialtheorie Polynomapproximation Approximationstheorie Diskrepanz Orthogonale Polynome |
| url | https://doi.org/10.1007/978-1-4757-4999-1 |
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