Pointwise and weighted estimates for Bernstein-Kantorovich type operators including beta function
摘要
We establish a Kantorovich variant of Bernstein operators including the beta function inspired by the King-type operators which preserve certain functions. We provide some pointwise, weighted, and direct approximation theorems to examine the approximation properties of the introduced sequence of operators. Furthermore, by graphical and numerical examples, we demonstrate the convergence of defined operators with the help of the MATLAB program.