Convergence of λ-Bernstein operators based on (p, q)-integers

In the present paper, we construct a new class of positive linear λ -Bernstein operators based on ( p , q )-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K -functional and moduli of continuity, and also give a convergence theorem for the Lipschitz continuous functions.