Some Results of Korovkin Type For Nonlinear Operators

Abstract

The Korovkin theorem (Korovkin, Linear Operators and Approximation Theory. Hindustan Publishing Corporation, Delhi, 1960) has significant importance within the field of approximation theory and has spawned numerous generalizations. Among these, nonlinear extensions of the Korovkin theorem stand out as particularly noteworthy. In the chapter, we present Korovkin-type theorems for nonlinear operators using the power series summability method. Additionally, we provide an example demonstrating that our results are more general than the classical ones.