Voronovskaja-type results in compact disks for quaternion \(q\)-Bernstein operators, \(q\geq 1\) (Q371673)

Here, the author studies complex \(q\)-Bernstein operators with \(q \geq 1\). A Voronovskaja-type result and quantitative upper estimates are proved. As applications, the exact orders of approximation for these operators, namely, \(1/n\) if \(q=1\) and \(1/q^n\) if \(q>1\) are obtained.