The distance between two limit $q$-Bernstein operators

Sofiya Ostrovska, Mehmet Turan

For $q\in (0,1),$ let $B_q$ denote the limit $q$-Bernstein operator. In this paper, the distance between $B_q$ and $B_r$ for distinct $q$ and $r$ in the operator norm on $C[0,1]$ is…