In this paper we characterize the product of internally quasi- -continuous functions and we construct a bounded internally quasi-continuous strong Świa̧tkowski function which cannot be written as a finite product of internally strong Świa̧tkowski functions.
Grande, Zbigniew(Springer Science + Business Media New York, 2013-10)
Let A be a nonempty family of functions from R to R. A function f : R → R is said to be strongly countably A-function if there is a sequence (fn) of functions from A such that Gr(f) ⊂ n Gr(fn) (Gr(f) denotes the graph of ...
Sworowski, Piotr(Institute of Mathematics AS CR, 2007)
Using the concept of the H1-integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.
