Shape preserving properties of the Bernstein polynomials with integer coefficients

Borislav Draganov

doi:10.60063/gsu.fmi.106.79-100

Shape preserving properties of the Bernstein polynomials with integer coefficients

Authors

Borislav Draganov https://orcid.org/0000-0003-4972-378X

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

How to Cite

Draganov, B. (2019). Shape preserving properties of the Bernstein polynomials with integer coefficients. Ann. Sofia Univ. Fac. Math. And Inf., 106, 79–100. https://doi.org/10.60063/gsu.fmi.106.79-100