On rough I^* and I^K-convergence of sequences in normed linear spaces

2021/02/13 by Banerjee, Amar Kumar, Paul, Anirban
#40A35 #54A20 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2102.06965

Abstract

In this paper, we have introduced first the notion of rough I^*-convergence in a normed linear space as an extension work of rough I-convergence and then rough I^K-convergence in more general way. Then we have studied some properties on these two newly introduced ideas. We also examined the relationship between rough I-convergence with both of rough I^*-convergence and rough I^K-convergence.

Related

• Rough I-statistical convergence of sequences
• Weak and weak* I^K-convergence in normed spaces
• Rough convergence of sequences in a S-metric space
• Rough I-convergence in cone metric spaces
• Rough convergence of sequences in a cone metric space