A note on rough $I$-convergence of double sequences
P. Malik, M. Maity, A. Ghosh
TL;DR
This paper explores the properties of rough I-convergence in double sequences, examining limits, boundedness, and their interrelations, extending the concept within the framework of Dündar's work.
Contribution
It introduces new properties of rough I-convergence for double sequences and analyzes the relationship between boundedness and convergence in this context.
Findings
Characterization of rough I-limits for double sequences
Relationship between boundedness and rough I-convergence
Structural properties of the set of all rough I-limits
Abstract
In this paper we study some basic properties of rough -convergent double sequences in the line of Dndar [8]. We also study the set of all rough -limits of a double sequence and relation between boundedness and rough -convergence of a double sequence.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Harmonic Analysis Research · Mathematical Approximation and Integration