| dc.contributor.author | Pritsker, Igor E | |
| dc.date.accessioned | 2024-01-17T19:57:41Z | |
| dc.date.available | 2024-01-17T19:57:41Z | |
| dc.date.issued | 2001-01-19 | |
| dc.identifier | oksd_pritsker_norms_of_products_and_2001 | |
| dc.identifier.citation | Pritsker, I.E. (2001). Norms of products and factors polynomials. https://doi.org/10.48550/arxiv.math/0101164 | |
| dc.identifier.uri | https://hdl.handle.net/11244/340129 | |
| dc.description.abstract | We study inequalities connecting a product of uniform norms of polynomials with the norm of their product. Generalizing Gel’fond-Mahler inequality for the unit disk and Kneser-Borwein inequality for the segment [−1,1], we prove an asymptotically sharp inequality for norms of products of algebraic polynomials over an arbitrary compact set in plane. Applying similar techniques, we produce a related inequality for the norm of a single monic factor of a monic polynomial. The best constants in both inequalities are obtained by potential theoretic methods. We also consider applications of the general results to the cases of a disk and a segment. | |
| dc.format | application/pdf | |
| dc.language | en_US | |
| dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
| dc.title | Norms of products and factors polynomials | |
| dc.date.updated | 2024-01-16T23:29:03Z | |
| osu.filename | oksd_pritsker_norms_of_products_and_2001.pdf | |
| dc.identifier.doi | 10.48550/arxiv.math/0101164 | |
| dc.description.department | Mathematics | |
| dc.type.genre | Preprint | |
| dc.type.material | Text | |
| dc.subject.keywords | applied mathematics | |
| dc.subject.keywords | pure mathematics | |
| dc.subject.keywords | mathematical sciences | |
| dc.subject.keywords | reduced inequalities | |
| dc.identifier.author | ORCID: 0000-0002-3102-5003 (Pritsker, Igor E) | |
| dc.identifier.author | ScopusID: 6602900239 (Pritsker, Igor E) | |
