Rough $I$-statistical convergence of double sequences in normed linear spaces

Prasanta Malik 1 * and Argha Ghosh 2

doi:10.26637/MJM0701/0011

Rough $I$-statistical convergence of double sequences in normed linear spaces

Authors :

Prasanta Malik ^{1 *} and Argha Ghosh ²

Author Address :

^1,2 Department of Mathematics, University of Burdwan, Golapbag, Burdwan-713104, West Bengal, India.

*Corresponding author.

Abstract :

The notion of $I$-statistical convergence of a double sequence was first introduced by Belen et. al.cite{Be} and the notion of rough convergence of a sequence was first introduced by Phu cite{Ph}.
In this paper we introduce and study the notion of rough $I$-statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough $I$-statistical limit set of a double sequence and discuss about some topological properties of this set.

Keywords :

Double sequence, $I$-statistical convergence, rough $I$-statistical convergence, rough $I$-statistical limit set, $I$- statistical boundedness.

DOI :

10.26637/MJM0701/0011

Article Info :

Received : February 06, 2018; Accepted : November 12, 2018.