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.
@article{26318,
title = {On statistical acceleration convergence of double sequences},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {35},
year = {2016},
doi = {10.5269/bspm.v35i2.26318},
language = {EN},
url = {http://dml.mathdoc.fr/item/26318}
}
Hazarika, Bipan. On statistical acceleration convergence of double sequences. Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016) . doi : 10.5269/bspm.v35i2.26318. http://gdmltest.u-ga.fr/item/26318/