Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Małgorzata Filipczak"'
The paper describes the mathematical career of a mathematician Jan Lipiński who has made such major contributions to both the scientific literature and to his chosen profession.
Publikováno v:
Journal of Applied Analysis.
In this paper, we will focus on different types of Świątkowski conditions: Świątkowski, strong Świątkowski and weak Świątkowski conditions. We present the main properties of the families of functions fulfilling such conditions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52d66269da3adc80935e6f725a5630c7
https://doi.org/10.1515/jaa-2022-1043
https://doi.org/10.1515/jaa-2022-1043
Publikováno v:
Results in Mathematics. 78
In the paper we will focus on weakly Światkowski functions. We say that f satisfies the weak Świa̧tkowski condition (or f is a weakly Świa̧tkowski function) if for all $$x_1, x_2$$ x 1 , x 2 with $$f(x_1)< f(x_2)$$ f ( x 1 ) < f ( x 2 ) there is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24963cb08144fed8ba075f4f4c57dbaa
https://doi.org/10.1007/s00025-023-01867-w
https://doi.org/10.1007/s00025-023-01867-w
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117
The space whose subsets we analyse with respect to lineability is $$L_0(\Omega ,P)^{\mathbb {N}}$$ L 0 ( Ω , P ) N consisting of random variables sequences on probability space $$(\Omega ,P)$$ ( Ω , P ) with atomless probability measure P. We study
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f1dd26a4d835774e29394ee06eb945c
https://doi.org/10.1007/s13398-022-01376-5
https://doi.org/10.1007/s13398-022-01376-5
Publikováno v:
Tatra Mountains Mathematical Publications. 78:25-42
We examine some generalized densities (called (ψ, n)-densities) obtained as a result of strengthening the Lebesgue Density Theorem. It turns out that these notions are the generalizations of superdensity, enhanced density and m-density, and have som
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a241a1408fe80d3a0c76cafe44318e4
https://doi.org/10.2478/tmmp-2021-0003
https://doi.org/10.2478/tmmp-2021-0003
Publikováno v:
Results in Mathematics. 77
We study a recently discovered metric invariant - the center of distances. The center of distances of a nonempty subset A of a metric space $$(X,\,d)$$ ( X , d ) is defined by $$S(A) :=\{ \alpha \in [0,\,+\infty ):\ \forall \ x\in A\ \ \exists \ y\in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81b2a043925d48a0284fca2dff363e24
https://doi.org/10.1007/s00025-022-01725-1
https://doi.org/10.1007/s00025-022-01725-1
Publikováno v:
European Journal of Mathematics. 6:1523-1536
We study k-sums of central Cantor sets and present a full characterization of the case of positive measure for such k-sums. This generalizes the celebrated Sannami’s counterexample for the Palis hypothesis. Moreover, we find a characterization of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc4a694e81d745059f90da01b1aba829
https://doi.org/10.1007/s40879-020-00438-5
https://doi.org/10.1007/s40879-020-00438-5
Publikováno v:
Annales Mathematicae Silesianae, Vol 34, Iss 1, Pp 45-50 (2020)
We show that a large class of summable ideals can be defined using a certain kind of “sparseness” of subsets of the line near zero, but it is still an open question whether this gives a characterization of the whole class.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::feea9dd181746ad2c1ed9e8090917fe9
https://doi.org/10.2478/amsil-2020-0014
https://doi.org/10.2478/amsil-2020-0014
Publikováno v:
Results in Mathematics. 76
In the paper we consider the Hashimoto topologies on the interval $$[0,1]$$ [ 0 , 1 ] as well as on $$\mathbb {R}$$ R , which are connected with the natural topology on $$\mathbb {R}$$ R and with some important and well known $$\sigma $$ σ -ideals i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa168776ae06f5d72321a30eaffc058b
https://doi.org/10.1007/s00025-021-01488-1
https://doi.org/10.1007/s00025-021-01488-1
Publikováno v:
Journal of Mathematical Analysis and Applications. 472:1167-1174
We describe sets with the Steinhaus property and sets with the Smital property in topological groups. We also discuss the Smital properties with respect to different ideals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e52277bbe649d5d7c9f645a521997cf
https://doi.org/10.1016/j.jmaa.2018.11.070
https://doi.org/10.1016/j.jmaa.2018.11.070