activity
20152024
most citedGeneralized transportation cost spaces

20 citations · 66 across the 15 of their papers we have counts for

collaborators

19 papers

math.CV2024

The impact of the limit -Durrmeyer operator on continuous functions

Övgü Gürel Yılmaz, Sofiya Ostrovska, Mehmet Turan

The limit -Durrmeyer operator, was introduced and its approximation properties were investigated by V. Gupta in 2008 during a study of -analogues for the Bern…

math.FA2022

Complementability of isometric copies of in transportation cost spaces

Sofiya Ostrovska, Mikhail I. Ostrovskii

This work aims to establish new results pertaining to the structure of transportation cost spaces. Due to the fact that those spaces were studied and applied in various contexts, t…

math.FA2022

Dvoretzky-type theorem for locally finite subsets of a Hilbert space

Florin Catrina, Sofiya Ostrovska, Mikhail I. Ostrovskii

The main result of the paper: Given any , every locally finite subset of admits a -bilipschitz embedding into an arbitrary infinite-dimensi…

math.FA2021

Isometric structure of transportation cost spaces on finite metric spaces

Sofiya Ostrovska, Mikhail I. Ostrovskii

The paper is devoted to isometric Banach-space-theoretical structure of transportation cost (TC) spaces on finite metric spaces. The TC spaces are also known as Arens-Eells, Lipsch…

math.FA2019★ 17 cited

On relations between transportation cost spaces and

Sofiya Ostrovska, Mikhail I. Ostrovskii

The present paper deals with some structural properties of transportation cost spaces, also known as Arens-Eells spaces, Lipschitz-free spaces and Wasserstein spaces. The main resu…

math.PR2019

On the q-moment determinacy of probability distributions

Sofiya Ostrovska, Mehmet Turan

Given every absolutely continuous distribution can be described in two different ways: in terms of a probability density function and also in terms of a -density. Corre…

math.ST2019

Power Lindley distribution and software metrics

Mohammed Khalleefah, Sofiya Ostrovska, Mehmet Turan

The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called…

math.FA2019★ 20 cited

Generalized transportation cost spaces

Sofiya Ostrovska, Mikhail Ostrovskii

The paper is devoted to the geometry of transportation cost spaces and their generalizations introduced by Melleray, Petrov, and Vershik (2008). Transportation cost spaces are also…

math.PR2018

Uncorrelatedness sets of discrete uniform distributions via Vandermonde-type determinants

Mehmet Turan, Sofiya Ostrovska, Ahmet Yaşar Özban

Given random variables and having finite moments of all orders, their uncorrelatedness set is defined as the set of all pairs for which and $…

math.PR2018

Discrete Stieltjes classes for log-Heine type distributions

Sofiya Ostrovska, Mehmet Turan

The Stieltjes classes play a significant role in the moment problem since they permit to expose an infinite family of probability distributions all having equal moments of all orde…

math.PR2018

On Lin's condition for products of random variables with joint singular distribution

Alexander Il'inskii, Sofiya Ostrovska

Lin's condition is used to establish the moment determinacy/indeterminacy of absolutely continuous probability distributions. Recently, a number of papers related to Lin's conditio…

math.PR2018

q-Stieltjes classes for some families of q-distributions

Sofiya Ostrovska, Mehmet Turan

The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly an infinite family of probability densities with the same sequence of moments. In…

math.FA2017★ 5 cited

On embeddings of locally finite metric spaces into

Sofiya Ostrovska, Mikhail I. Ostrovskii

It is known that if finite subsets of a locally finite metric space admit -bilipschitz embeddings into , then for every , the space adm…

math.FA2017

The distance between two limit -Bernstein operators

Sofiya Ostrovska, Mehmet Turan

For let denote the limit -Bernstein operator. In this paper, the distance between and for distinct and in the operator norm on is…

math.PR2017★ 1 cited

On Lin's condition for products of random variables

Alexander Il'inskii, Sofiya Ostrovska

The paper presents an elaboration of some results on Lin's conditions. A new proof of the fact that if densities of independent random variables and satisfy Lin's condi…

astro-ph.HE2015★ 18 cited

Induced scattering limits on fast radio bursts from stellar coronae

Yuri Lyubarsky, Sofiya Ostrovska

The origin of fast radio bursts remains a puzzle. Suggestions have been made that they are produced within the Earth atmosphere, in stellar coronae, in other galaxies or at cosmolo…

math.MG2015

Nonexistence of embeddings with uniformly bounded distortions of Laakso graphs into diamond graphs

Sofiya Ostrovska, Mikhail I. Ostrovskii

Diamond graphs and Laakso graphs are important examples in the theory of metric embeddings. Many results for these families of graphs are similar to each other. In this connection,…

math.MG2015

Distortion of embeddings of binary trees into diamond graphs

Siu Lam Leung, Sarah Nelson, Sofiya Ostrovska +1

Diamond graphs and binary trees are important examples in the theory of metric embeddings and also in the theory of metric characterizations of Banach spaces. Some results for thes…

math.FA2015★ 5 cited

Distortion in the finite determination result for embeddings of locally finite metric spaces into Banach spaces

Sofiya Ostrovska, Mikhail I. Ostrovskii

Given a Banach space and a real number , we write: (1) if, for any locally finite metric space , all finite subsets of which admit bilipschitz embeddings…