Approximation properties of Riemann-Liouville type fractional Bernstein-Kantorovich operators of order $ \alpha $

In this paper, we construct a new sequence of Riemann-Liouville type fractional Bernstein-Kantorovich operators $ K_{n}^{\alpha}(f;x) depending on parameter \alpha $. We prove Korovkin approximation theorem and discuss the rate convergence with first second order modulus continuity these operators. Moreover, introduce operator that preserves affine functions from Further, define bivariate case investigate convergence. Some numerical results are given to illustrate its comparison classical