Numerical and Theoretical Approximation Through Riemann–Liouville‐Type Fractional Kantorovich Operators

ABSTRACT This paper presents the Riemann–Liouville‐type fractional ‐Bernstein–Kantorovich operators based on a sequence . To establish the uniform convergence of these operators, we employ the Korovkin‐type theorem, Lipschitz‐type space, and modulus of continuity. Additionally, we demonstrate global approximation by utilizing the Ditzian–Totik modulus of smoothness. An approximation result related to the Korovkin theorem is also provided by using Fibonacci ‐statistical convergence. Finally, we illustrate the convergence of the proposed operators through graphical representations created using Maple.