Approximation for genuine summation-integral type link operators

In the present article, we extend the studies on recently introduced sequence of the genuine summation-integral type operators [7]. Here, we establish a link between the genuine operators and the discrete operators. We also establish a quantitative asymptotic formula, a direct estimate in terms of Ditzian–Totik modulus of smoothness and finally, we present the rate of convergence for functions having derivatives of bounded variation.