On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

In the present paper, Durrmeyer type lambda-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied, a convergence theorem for the Lipschitz continuous functions is also obtained. Finally, some numerical examples are given to show that these operators we defined converge faster in some lambda cases than Durrmeyer type (p, q)-Bernstein operators.