Shape preserving properties of the Bernstein polynomials with integer coefficients

Shape preserving properties of the Bernstein polynomials with integer coefficients

Ann. Sofia Univ., Fac. Math. and Inf. 106 (2019), 79-100 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.

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Draganov, Borislav R
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Classical Analysis and ODEs
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Ann. Sofia Univ., Fac. Math. and Inf. 106 (2019), 79-100 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:10.48550/arxiv.2005.08692