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

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

2005-12-14

arxiv.org/abs/math/0512326v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 499-508

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

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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