Published January 1, 2009
| Version v1
Journal article
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ON RELAXING THE POSITIVITY CONDITION OF LINEAR OPERATORS IN STATISTICAL KOROVKIN-TYPE APPROXIMATIONS
Creators
- 1. Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
- 2. TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
Description
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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