| 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 |
| Attachment | Size |
|---|---|
 106-079-100.pdf | 388.88 KB |