Statistical approximation properties of λ-Bernstein operators based on q-integers

In this paper, we introduce a new generalization of λ -Bernstein operators based on q -integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of these operators to f ( x ). It can be seen that in some cases the absolute error bounds are smaller than the case of classical q -Bernstein operators to f ( x ).