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

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