P. Das

activity

20162020

collaborators

6 papers

math.GN2020

Further observations on bornological covering properties and selection principles

Debraj Chandra, Pratulananda Das, Subhankar Das

This article is a continuation of the study of bornological open covers and related selection principles in metric spaces done in (Chandra et al. 2020) using the idea of strong uni…

math.GN2020

Topological torsion elements via natural density and a quest for solution of Armacost like problem

Pratulananda Das, Ayan Ghosh

One can use the number theoretic idea of the notion of natural density \cite{B1} to define topological s-torsion elements (which form the statistically characterized subgroups, rec…

math.GN2019

Applications of Bornological Covering Properties in Metric Spaces

Debraj Chandra, Pratulananda Das, Shunhankar Das

Using the idea of strong uniform convergence on bornology, Caserta, Di Maio and Kočinac studied open covers and selection principles in the realm of metric spaces (associated with…

math.RA2019

On Leibniz algebras whose centralizers are ideals

Pratulananda Das, Ripan Saha

This paper concerns the study of Leibniz algebras, a natural generalization of Lie algebras, from the perspective of centralizers of elements. We study conditions on Leibniz algebr…

math.PR2016

A notion of $α β$ -statistical convergence of order $γ$ in probability

Pratulananda Das, Sanjoy Ghosal, Vatan Karakaya +1

A sequence of real numbers ${x_{n}}_{n \in N}$ is said to be $α β$ -statistically convergent of order $γ$ (where $0 < γ \leq 1$ ) to a real number $x$ \cite{a} if for every $δ>…

math.PR2016

Statistical convergence of order $α$ in probability

Pratulananda Das, Sanjoy Ghosal, Sumit Som

In this paper ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order $α$ in probability, strong $p$ -Ces$…