MMN-658
A Korovkin-type approximation theorem for double sequences of positive linear operators of two variables in statistical $A$-summability sense
Abstract
In this paper, using the concept of statistical $A$-summability which
is stronger than classical convergence and $A$-statistical convergence, we obtain
a Korovkin type approximation theorem for double sequences of positive linear
operators of two variables from $H_{\omega}(K)$ to $C(K)$. Also, we give an example
such that our new approximation result works but its classical and $A$-statistical
cases do not work. Furthermore, we study the rate of statistical $A$-summability
by means of the modulus of continuity.
Vol. 15 (2014), No. 2, pp. 625-633