On the Stancu Type of Novel Generalization of (λ, µ)-Bernstein-Kantorovich Operators

Abstract

This study investigates the shape parameters $\lambda$ and $\mu$, a concept of contemporary interest due to their capacity to introduce considerable flexibility and enhance modeling possibilities within approximation theory. This paper mainly introduces novel generalized $(\lambda,\mu)$-Bernstein-Kantorovich-Stancu operators. We examine the approximation properties of these operators, establishing the order of approximation through classical methods, specifically utilizing the Lipschitz class and the second modulus of continuity. Finally, to substantiate our theoretical findings, we present comprehensive numerical and graphical illustrations.