Statistical approximation properties of convolution operators for multivariables

Abstract

In this paper, we study Korovkin type approximation results for a sequence of positive linear convolution operators defined on C([a,b]×[c,d]), the space of all continuous real valued functions on [a,b]×[c,d] with the use of A-statistical convergence. We also study rates of A-statistical convergence of these operators. © 2013 AIP Publishing LLC.