M. Küçükaslan

activity

20122024

most citedUniform boundedness of pretangent spaces, local constancy of metric derivatives and strong right upper porosity at a point

5 citations · 7 across the 9 of their papers we have counts for

collaborators

9 papers

math.FA2024

Introducing Statistical Operators: Boundedness, Continuity, and Compactness

Erdal Bayram, Mehmet Küçükaslan, Mikail Et +1

Many studies have been conducted on statistical convergence, and it remains an area of active research. Since its introduction, statistical convergence has found applications many…

math.CO2021

Labeled trees generating complete, compact, and discrete ultrametric spaces

Oleksiy Dovgoshey, Mehmet Küçükaslan

We investigate the interrelations between labeled trees and ultrametric spaces generated by these trees. The labeled trees, which generate complete ultrametrics, totally bounded ul…

math.CA2016

Unions and ideals of locally strongly porous sets

Maya Altinok, Oleksiy Dovgoshey, Mehmet Küçükaslan

For subsets of $R^{+} = [0, \infty)$ we introduce a notion of coherently porous sets as the sets for which the upper limit in the definition of porosity at a point is attained…

math.GN2015

First Baire class functions in the pluri-fine topology

Oleksiy Dovgoshey, Mehmet Küçükaslan, Juhani Riihentaus

Let $B_{1} (Ω, R)$ be the first Baire class of real functions in the pluri-fine topology on an open set $Ω \subseteq C^{n}$ and let $H_{1}^{*} (Ω, R)$ be the f…

math.MG2015

Minimal universal metric spaces

V. Bilet, O. Dovgoshey, M. Kucukaslan +1

Let $M$ be a class of metric spaces. A metric space $Y$ is minimal $M$ -universal if every $X \in M$ can be isometrically embedded in $Y$ but there ar…

math.MG2015

Local one-side porosity and pretangent spaces

M. Altinok, O. Dovgoshey, M. Kucukaslan

For subsets of $R^{+}$ we consider the local right upper porosity and the local right lower porosity as elements of a cluster set of all porosity numbers. The use of a scali…