Using the concept of
I\mathcal{I}
-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate
weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity
and the elements of the Lipschitz class.
Keywords
I\mathcal{I}
-convergence - positive linear operator - the classical Korovkin theorem