%0 Journal Article %T $\pmb{A}$-Statistical extension of the Korovkin type approximation theorem %A Esra Erkus %A Oktay Duman %J Mathematics %D 2005 %I arXiv %X In this paper, using the concept of $A$-statistical convergence which is a regular (non-matrix) summability method, we obtain a general Korovkin type approximation theorem which concerns the problem of approximating a function $f$ by means of a sequence $\{L_{n}f\}$ of positive linear operators. %U http://arxiv.org/abs/math/0512326v1