A Certain Class of Equi-Statistical Convergence in the Sense of the Deferred Power-Series Method
Hari Mohan Srivastava,
Bidu Bhusan Jena,
Susanta Kumar Paikray
Abstract:In this paper, we expose the ideas of point-wise statistical convergence, equi-statistical convergence and uniform statistical convergence in the sense of the deferred power-series method. We then propose a relation connecting them, which is followed by several illustrative examples. Moreover, as an application viewpoint, we establish an approximation theorem based upon our proposed method for equi-statistical convergence of sequences of positive linear operators. Finally, we estimate the equi-statistical rate… Show more
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