1 citations · 1 across the 5 of their papers we have counts for
4 papers · 1 filter
On differentiation with respect to filters
Dmytro Seliutin
This short article contains the construction of a construction that generalizes the concept of the derivative of a function of one variable, using the theory of filters. The paper…
On relation between statistical ideal and ideal generated by a modulus function
Dmytro Seliutin
We characterize those modulus functions for which the ideal generated by is equal to the statistical ideal.
Completeness in topological vector spaces and filters on N
Vladimir Kadets, Dmytro Seliutin
We study completeness of a topological vector space with respect to different filters on the set N of all naturals. In the metrizable case all these kinds of completeness are the s…
Conglomerated filters, statistical measures, and representations by ultrafilters
Vladimir Kadets, Dmytro Seliutin
Using a new concept of conglomerated filter we demonstrate in a purely combinatorial way that none of Erdös-Ulam filters or summable filters can be generated by a single statistica…