MMN-478
Generalized $A$-statistical convergence and a Korovkin type approximation theorem for double sequences
Abstract
In this paper, we use the notion of ideal to obtain two more general concepts and call them as $I$-$A$-statistical convergence and ideal $A$-summability. We also use the the concept of $I$-$A$-statistical convergence to prove a Korovkin type approximation theorem for double sequences of positive linear operators and present an interesting example to show that our Korovkin theorem is stronger than those proved earlier.
Vol. 14 (2013), No. 1, pp. 31-39
DOI: 10.18514/MMN.2013.478