Statistical Convergence of Spliced Sequences in Terms of Power Series on Topological Spaces
Abstract
In the present paper, $P-$distributional convergence which is defined by power series method has been introduced. We give equivalent expressions for $P-$distributional convergence of spliced sequences. Moreover, convergence of a bounded $\infty$-spliced sequence via power series method is represented in terms of Bochner integral in Banach spaces.
Keywords
P-distributional convergence, P-density, Power series, P-statistical convergence, spliced sequences
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