Exponential Bernstein-Durrmeyer operators

Abstract In this paper we introduce an exponential variant of Bernstein-Durrmeyer operators. Regarding this new operators we obtain some convergence resultş a Voronovskaya type theorem and some quantitative estimates using the first order modulus of continuity and the second order modulus of smoothness and then the relation between them and K -functionals. Also we study their simultaneous approximation properties.