Four-dimensional matrix transformation and the rate of A-statistical convergence of continuous functions

Motivated by our earlier work on the statistical approximation of continuous functions by positive linear operators of two variables, we study rates of A-statistical convergence of a sequence of positive linear operators acting on the space of all continuous real valued functions on any D compact subset of the real two-dimensional space. Furthermore, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory. (C) 2010 Elsevier Ltd. All rights reserved.