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$\pmb{A}$-Statistical extension of the Korovkin type approximation theorem

Esra Erkus·Oktay Duman
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Abstract

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.

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Esra Erkus, Oktay Duman. 2005-12-14. $\pmb{A}$-Statistical extension of the Korovkin type approximation theorem. https://arxiv.org/abs/math/0512326

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