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

Esra Erkus; Oktay Duman

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

Classical Analysis and ODEs 2007-05-23 v1

Authors: Esra Erkus , Oktay Duman

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.

Keywords

approximation theory function approximation banach space

Cite

@article{arxiv.math/0512326,
  title  = {$\pmb{A}$-Statistical extension of the Korovkin type approximation theorem},
  author = {Esra Erkus and Oktay Duman},
  journal= {arXiv preprint arXiv:math/0512326},
  year   = {2007}
}

Comments

10 pages

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