Statistical Convergence of Spliced Sequences in Terms of Power Series on Topological Spaces

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Mathematical Sciences and Applications E-Notes
Volume:11 Issue:2
Statistical Convergence of Spliced Sequences in Terms of Power Series on Topological Spaces

Statistical Convergence of Spliced Sequences in Terms of Power Series on Topological Spaces

Authors : Sevcan DEMİRKALE, Emre TAŞ

Pages : 104-111

Doi:10.36753/mathenot.1212331

View : 58 | Download : 60

Publication Date : 2023-06-30

Article Type : Research Paper

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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