Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

An alternative approach, known today as the Bernstein polynomials, to Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations and computer-aided geometric design. Motivated improvements of computational disciplines, we propose a new generalization Bernstein–Kantorovich operators involving shape parameters λ, α positive integer an original extension operators. The statistical properties rate convergence are also obtained means regular summability matrix. Using Lipschitz-type maximal function, modulus continuity smoothness, certain local results presented. Some weighted space studied. Finally, illustrative graphics that demonstrate behavior consistency proposed computer program.