Milev Lozko and Naidenov Nikola: Indefinite extreme points of the unit ball in a polynomial space. In: Acta scientiarum mathematicarum, (77) 3-4. pp. 409-424. (2011)
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Abstract
The present paper continues work started by G. A. MuñozFernández, Sz. Gy. Révész and J. B. Seoane-Sepúlveda [10] (degree 2 homogeneous polynomials, description of all extreme points) and L. Milev, N. Naidenov [8] (degree 2 algebraic polynomials, definite extreme points) by describing the indefinite extreme points of the unit ball of the space of degree 2 bivariate algebraic polynomials equipped with the maximum norm on the standard triangle of the plane. The main motivation for taking up this work is the hope that via the Krein-Milman theorem, this description will be useful in deriving the exact constants in certain inequalities, including the multivariate Bernstein inequality over general, non-symmetric convex bodies.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2011 |
| Volume: | 77 |
| Number: | 3-4 |
| ISSN: | 0001-6969 |
| Page Range: | pp. 409-424 |
| Language: | English |
| Publisher: | Bolyai Institute, University of Szeged |
| Place of Publication: | Szeged |
| Official URL: | http://www.acta.hu |
| Related URLs: | http://acta.bibl.u-szeged.hu/38684/ |
| Uncontrolled Keywords: | Matematika |
| Additional Information: | Bibliogr.: p. 423-424. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2016. Oct. 15. 14:09 |
| Last Modified: | 2026. Mar. 09. 13:36 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/16395 |
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