Blending type approximation by modified Bernstein operators

In the present manuscript, we define the generalized Bernstein operators which reproduce linear functions. First, we compute an approximation theorem using Bohman-Korovkin's criterion and obtain the estimate of the rate of approximation by using modulus of smoothness, Lipschitz class and Voronovskaya formula for these operators. The rate of approximation for differentiable functions whose derivatives are of bounded variation is also established. Finally, the theoretical results are demonstrated by using MAPLE software.