Shape preserving properties of the Bernstein polynomials with integer coefficients

ЗаглавиеShape preserving properties of the Bernstein polynomials with integer coefficients
Вид публикацияJournal Article
Година на публикуване2019
АвториDraganov BR
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том106
Start Page79
Pagination79-100
ISSN1313-9215 (Print) 2603-5529 (Online)
ключови думиBernstein polynomials, convex, integer coefficients, integral coefficients, monotone, shape preserving
Резюме

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.

DOI10.60063/GSU.FMI.106.79-100
2010 MSC

Primary: 41A10; Secondary: 41A29, 41A35, 41A36

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