We introduce a concept of convergence of order alpha with respect to a summability matrix method A for sequences (which generalizes the notion of statistical convergence of order ), taking values in lattice groups. Some main properties and differences with the classical A-convergence are investigated. A Cauchy-type criterion and a closedness result for the space of convergent sequences according our notion is proved.
On matrix methods of convergence of order alpha in l-groups
BOCCUTO, Antonio;
2015
Abstract
We introduce a concept of convergence of order alpha with respect to a summability matrix method A for sequences (which generalizes the notion of statistical convergence of order ), taking values in lattice groups. Some main properties and differences with the classical A-convergence are investigated. A Cauchy-type criterion and a closedness result for the space of convergent sequences according our notion is proved.File in questo prodotto:
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