On statistical acceleration convergence of double sequences

Keywords: Converging faster, converging at the same rate, acceleration field, double natural density, statistical convergence, $st_2$-convergence, $st_2$-lim-inf, $st_2$-lim-sup

Abstract

In this article the notion of statistical acceleration convergence of double sequences in Pringsheim's sense has been introduced. We prove the decompostion theorems for  statistical acceleration convergence of double sequences and some theorems related to that concept have been established using the four dimensional matrix transformations. We provided some examples, where the results of acceleration convergence fails to hold for the statistical cases.

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Author Biography

Bipan Hazarika, Rajiv Gandhi University

Mathematics

Assistant Professor

Published
2016-04-03
Section
Articles