Korovkin-type theorem for sequences of operators preserving shape

Abstract

In the paper we present Korovkin-type theorem concerning conditions of convergence sequences of linear operators preserving shape.

Korovkin Sets for Sequences of Shape-Preserving Operators

“…On the other hand, there exists [15] such a generalized polynomial f ∈ S, that δ x (f ) = 0 and αδ y (f ) > 0. This contradicts to (11).…”