20 citations · 58 across the 13 of their papers we have counts for
15 papers
Lineability of functions in with specified range
Artur Bartoszewicz, Szymon Głcab
This paper is inspired by the paper of Leonetti, Russo and Somaglia [\textit{Dense lineability and spaceability in certain subsets of .} Bull. London Math. Soc., 55: 2…
On the -equivalence and permutations of series
Artur Bartoszewicz, Włodzimierz Fechner, Aleksandra Świątczak +1
Assume that a convergent series of real numbers has the property that there exists a set such that the series $\sum\limits_{n \in A}…
the center of distances for some multigeometric series
Michał Banakiewicz, Artur Bartoszewicz, Franciszek Prus-Wiśniowski
Basic properties of the center of distances of a set are investigated. Computation of the center for achievement sets is particularly aimed at. A new sufficient condition for the c…
On generating regular Cantorvals connected with geometric Cantor sets
Artur Bartoszewicz, Małgorzata Filipczak, Szymon Głcab +2
We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functio…
Achievement sets of conditionally convergent series
Artur Bartoszewicz, Szymon Głab, Jacek Marchwicki
Considering the sets of subsums of series (or achievement sets) we show that for conditionally convergent series the multidimensional case is much more complicated than that of the…
Topological and measure properties of some self-similar sets
Taras Banakh, Artur Bartoszewicz, Malgorzata Filipczak +1
Given a finite subset and a positive real number we study topological and measure-theoretic properties of the self-similar set $K(Σ;q)=\big\{\sum_{n=0}^\…