On Stancu-Type Generalization of Modified p , q -Szász-Mirakjan-Kantorovich Operators

Abstract

In the present article, we construct $\left(p,q\right)$ -Szász-Mirakjan-Kantorovich-Stancu operators with three parameters $\lambda ,\alpha ,\beta$ . First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via $K$ -functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.