Bivariate Bernstein polynomials that reproduce exponential functions

In this paper, we construct Bernstein type operators that reproduce exponential functions on simplex with one moved curved side.The operator interpolates the function at the corner points of the simplex.Used function sequence with parameters and not only are gained more modeling ‡exibility to operator but also satis…ed to preserve some exponential functions.We examine the convergence properties of the new approximation processes.Later, we also state its shape preserving properties by considering classical convexity.Finally, a Voronovskaya-type theorem is given and our results are supported by graphics.