On the rate of approximation by \(q\) modified beta operators
The authors propose the \(q\) analogue of the modified Beta operators. They apply \(q\)-derivatives to obtain the central moments of the discrete \(q\)-Beta operators. A direct result in terms of modulus of continuity for the \(q\)-operators is also established. They have also used the properties of \(q\)-integral to establish the recurrence formula for the moments of \(q\)-modified Beta operators and an asymptotic formula.
scientific article; zbMATH DE number 5862705
scientific article