On the Rates of Convergence of the $q$-Lupaş--Stancu Operators

Ogün Doğru, Gürhan İçöz, Kadir Kanatb

We introduce a Stancu type generalization of the Lupaş operators based on the $q$-integers, rate of convergence of this modification are obtained by means of the modulus of continuity, Lipschitz class functions and Peetre's $K$-functional. We will also introduce $r$-th order generalization of these operators and obtain its statistical approximation properties.