In this paper, the notion of (`N, pn )-summability to generalize the concept of Statistical convergence is used. We call this new method weighted Statistically convergence. We also establish its relationship with Statistical convergence, (C, 1)-summability and strong (`N, pn )-summability.

In this paper we investigate the notion of I-Statistical convergence and introduce I-st limit points and I-st cluster points of real number sequence and also studied some of its basic properties.

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