On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.

On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.