Approximation behavior of parametrically generalized Baskakov-Stancu operators

In the present work, we consider Stancu variant of a parametrically generalized Baskakov operator. We discuss the error of appoximation of these operators by means of unified Ditzian Totik modulus of smoothness and various moduli of continuity like modulus of continuity of second order and weighted modulus of continuity. Also, we study the statistical convergence of newly defined operators. Some numerical examples illustrating the error functions for varying Stancu parameters and the approximation by proposed operators are also given using MATLAB programming.