Finite Asymptotic Clusters of Metric Spaces

Autor: Viktoriia Bilet, Oleksiy Dovgoshey

Publikováno v: Theory and Applications of Graphs, Vol 5, Iss 2 (2018)

Let $(X, d)$ be an unbounded metric space and let $\tilde r=(r_n)_{n\in\mathbb N}$ be a sequence of positive real numbers tending to infinity. A pretangent space $\Omega_{\infty, \tilde r}^{X}$ to $(X, d)$ at infinity is a limit of the rescaling sequ

Externí odkaz: https://doaj.org/article/fed71bdafaa04fab9a14123081c8ec57

Quasi-symmetric mappings and their generalizations on Riemannian manifolds

Autor: Elena Afanas'eva, Viktoriia Bilet

Publikováno v: Ukrainian Mathematical Bulletin. 18:145-159

A relation between $\eta$-quasi-symmetric homomorphisms and $K$-quasiconformal mappings on $n$-dimensional smooth connected Riemannian manifolds has been studied. The main results of the research are presented in Theorems 2.6 and 2.7. Several conditi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::36b0e9fb46d98bbfcaff853c217dc6cc
https://doi.org/10.37069/1810-3200-2021-18-2-1

Indicators of Spectacle in Wrestling at the 2021 Olympic Games

Autor: Rashid Matkarimov, Georgiy Korobeynikov, Yrui Tropin, Viktoriia Biletska, David Curby, Milorad Dokmanac, Fikrat Kerimov

Publikováno v: Слобожанський науково-спортивний вісник, Vol 28, Iss 1, Pp 38-43 (2024)

Background and Study: Spectacle plays a key role in sports wrestling in attracting viewers' attention, creating emotional involvement, and making the sport an integral part of culture. Aim: To identify the most significant indicators of wrestlers' co

Externí odkaz: https://doaj.org/article/98ef5e9483254f7eb1d58635dd646e1b

Ограниченность констант лебега и интерполяционные базисы Фабера

Autor: Jürgen Prestin, Viktoriia Bilet, Oleksiy Dovgoshey

Publikováno v: Наукові вісті Національного технічного університету України "Київський політехнічний інститут", Vol 0, Iss 4, Pp 7-16 (2017)
Наукові вісті НТУУ «КПІ» : міжнародний науково-технічний журнал, 2017, № 4(114)
"""Research Bulletin of the National Technical University of Ukraine """"Kyiv Politechnic Institute"""""""
"Research Bulletin of the National Technical University of Ukraine ""Kyiv Politechnic Institute"""

We investigate some conditions under which the Lebesgue constants or Lebesgue functions are bounded for the classical Lagrange polynomial interpolation on a compact subset of $\mathbb R$. In particular, relationships of such boundedness with uniform

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2479dd190d7351effd88a8dcbb85b4f
https://doi.org/10.20535/1810-0546.2017.4.108444

Two ideals connected with strong right upper porosity at a point

Autor: Oleksiy Dovgoshey, Jürgen Prestin, Viktoriia Bilet

Publikováno v: Czechoslovak Mathematical Journal. 65:713-737

Let $SP$ be the set of upper strongly porous at $0$ subsets of $\mathbb R^{+}$ and let $\hat I(SP)$ be the intersection of maximal ideals $I \subseteq SP$. Some characteristic properties of sets $E\in\hat I(SP)$ are obtained. It is shown that the ide

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b0c5192971e249dd38006a0aa8cd2ba
https://doi.org/10.1007/s10587-015-0204-3