In the present paper we introduce a new type of statistical convergence for double sequences called triangular A-statistical convergence and we show that triangular A-statistical convergence and A-statistical convergence overlop, neither contains the other. Also, we give a Korovkin-type approximation theorem using this new type of convergence. Finally we give some further developments.
Triangular A-Statistical Approximation by Double Sequences of Positive Linear Operators
BARDARO, Carlo;BOCCUTO, Antonio;MANTELLINI, Ilaria;
2015
Abstract
In the present paper we introduce a new type of statistical convergence for double sequences called triangular A-statistical convergence and we show that triangular A-statistical convergence and A-statistical convergence overlop, neither contains the other. Also, we give a Korovkin-type approximation theorem using this new type of convergence. Finally we give some further developments.File in questo prodotto:
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