Yayınlanmış 1 Ocak 2009 | Sürüm v1
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ON RELAXING THE POSITIVITY CONDITION OF LINEAR OPERATORS IN STATISTICAL KOROVKIN-TYPE APPROXIMATIONS

  • 1. Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
  • 2. TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

Açıklama

In this paper, we relax the positivity condition of linear operators in the Korovkin-type approximation theory via the concept of statistical convergence. Especially, we obtain various Korovkin-type approximation theorems providing the statistical convergence to derivatives of functions by means of a class of linear operators.

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