On -approximate limits and -approximate smoothness
In this paper we present some results based on slightly modified idea of the -density introduced by Władysław Wilczyński. Some theorems are generalized versions of results from [2] and [3]. We investigate properties of functions from , where is supplied with the -density. We try to free our considerations from the assumption of Baire property, or measurability. In some cases this is not done yet. Star-marked statements still need that assumption, proofs presented here are done for Baire property,...