Shape preserving properties of the Bernstein polynomials with integer coefficients

Authors

DOI:

https://doi.org/10.60063/gsu.fmi.106.79-100

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.

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Published

2019-12-12

Issue

Vol. 106 (2019): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

Shape preserving properties of the Bernstein polynomials with integer coefficients. (2019). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 106, 79-100. https://doi.org/10.60063/gsu.fmi.106.79-100