APPROXIMATION PROPERTIES OF THE RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL TYPE SZ acute accent ASZ-MIRAKYAN-KANTOROVICH OPERATORS

Abstract

In the present paper, we introduce the Riemann-Liouville fractional integral type SzaszMirakyan-Kantorovich operators. We investigate the order of convergence by using Lipschitztype maximal functions, second order modulus of smoothness and Peetre's K-functional. Weighted approximation properties of these operators in terms of modulus of continuity have been discussed. Then, Vorononskaja-type type theorem are obtained. Moreover, bivariate the RiemannLiouville fractional integral type Szasz-Mirakyan-Kantorovich operators are constructed. The last section is devoted to graphical representation and numerical results for these operators.