Higher-order Miheşan–Kantorovich operators: construction and analysis

Abstract This work is devoted to the introduction and analysis of higher-order Miheşan–Kantorovich operators. We conduct a comprehensive theoretical investigation, establishing results such as a Voronovskaja-type theorem, a quantitative asymptotic theorem, and Grüss–Voronovskaya theorem. To complement the theory, we employ MAPLE to provide a graphical demonstration of the operators’ convergence.