In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A−statistical approximation properties of these operators. Also, by using the Modulus of continuity and Lipschitz class, the statistical rate of convergence is established. We also gives the rate of A−statistical… (More)
Purpose: The purpose of this paper is to introduce the mixed summation-integral-type Lupas¸-Phillips-Bernstein operators. Methods: Firstly, we compute the moments of the operators. We use the method of Korovkin-type statistical approximation and modulus of continuity. Results: We find the rate of convergence of the modified operators using statistical… (More)
We introduce a q analogue of the Meyer-König-Zeller Durrmeyer type operators and investigate their rate of convergence.