Indefinite extreme points of the unit ball in a polynomial space
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...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16395 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 409-424 |
| ISSN: | 0001-6969 |