Abstract
The goal of this paper is to construct a new type of Bernstein operators depending
on the shape parameter λ ∈ [−1, 1]. For these new type operators a uniform convergence result is
presented. Furthermore, order of approximation in the sense of local approximation is investigated
and Voronovskaja type theorem is proved. Lastly, some graphical results are given to show the rate of
convergence of constructed operators to a given function f.