, Volume 15, Issue 1, pp 87-103

Approximation theorems by positive linear operators in weighted spaces

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Abstract

In this study, we obtain some Korovkin type approximation theorems by positive linear operators on the weighted space of all real valued functions defined on the real two-dimensional Euclidean space ${\mathbb{R}^2}$ . This paper is mainly consisted of two parts: a Korovkin type approximation theorem via the concept of A-statistical convergence and a Korovkin type approximation theorem via ${\mathcal {A}}$ -summability.

The research was supported by the National Natural Science Foundation of China (Nos. 90818020, 60873206) and the Natural Science Foundation of Zhejiang Province of China (No. Y7080235).