Kantorovich-Stancu type ( α,λ,s ) - Bernstein operators and their approximation properties

In this study, we establish a new class of Kantorovich-Stancu type α,λ,s−Bernstein operators via an adaptation of Bézier bases which are formulated with the inclusion of the shape parameters λ∈−1,1, α∈0,1, and a positive parameter s. First, we present a uniform convergence result for these operators and, subsequently, examine the convergence properties by utilizing the weighted B-statistical convergence notion. Furthermore, we estimate the rate of the weighted B-statistical convergence of these operators. We conclude our work by providing a numerical example with explanatory graphs to show their approximation behaviours.