Qualitative results on the convergence of the q-Bernstein polynomials

 

 

Description

Despite many common features, the convergence properties of the Bernstein and the q-Bernstein polynomials are not alike. What is more, the cases 0<q<1 and q>1 are not similar to each other in terms of convergence. In this work, new results demonstrating the striking differences which may occur in those convergence properties are presented.

Additional information

Author(s)

Ostrovska, Sofiya, Turan, Mehmet