3 papers
math.CA2020
Shape preserving properties of the Bernstein polynomials with integer coefficients
Borislav R. Draganov
The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe th…
math.CA2019
Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers
Borislav R. Draganov
It is demonstrated that multiplier methods naturally yield better constants in strong converse inequalities for the Bernstein-Durrmeyer operator. The absolute constants obtained in…
math.CA2018
Simultaneous approximation by Bernstein polynomials with integer coefficients
Borislav R. Draganov
We prove that several forms of the Bernstein polynomials with integer coefficients possess the property of simultaneous approximation, that is, they approximate not only the functi…