Degree of convergence in operator versions of nonlinear Korovkin's theorems (Q6612011)

This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) concerning convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of continuous real functions on compacts in \(\mathbb{R}^N\). Some examples illustrating the theory are included.