On rough $I^{\ast }$ and $I^K$-convergence of sequences in normed linear spaces

Abstract

In this paper, we have introduced first the notion of rough $I^{\ast }$-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 $I^{\ast }$-convergence and rough $I^K$-convergence.

13 pages