Title | Shape preserving properties of the Bernstein polynomials with integer coefficients |
Publication Type | Journal Article |
Year of Publication | 2019 |
Authors | Draganov BR |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 106 |
Start Page | 79 |
Pagination | 79-100 |
ISSN | 1313-9215 (Print) 2603-5529 (Online) |
Keywords | Bernstein polynomials, convex, integer coefficients, integral coefficients, monotone, shape preserving |
Abstract | The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe that they are asymptotically shape preserving. |
DOI | 10.60063/GSU.FMI.106.79-100 |
2010 MSC | Primary: 41A10; Secondary: 41A29, 41A35, 41A36 |
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