Shape preserving properties of the Bernstein polynomials with integer coefficients

TitleShape preserving properties of the Bernstein polynomials with integer coefficients
Publication TypeJournal Article
Year of Publication2019
AuthorsDraganov BR
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume106
Start Page79
Pagination79-100
ISSN1313-9215 (Print) 2603-5529 (Online)
KeywordsBernstein 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.

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

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

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