“…Strictly speaking, Theorems 1 and 2 assure that a discrete (even multi-dimensional) function can be approximated arbitrarily with a suitable inverse (multidimensional) F. transform provided that a convenient fuzzy partition of the universe of discourse is found via related basic functions. Like pointed out in our previous papers [35,36,[38][39][40], unfortunately Theorem 1 (resp. Theorem 2) is not constructive, in the sense that it does not give a tool to find an integer n(ε)(resp., k integers n(1, ε), .…”