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Zbl 1224.41050
Anastassiou, G.A.; Duman, O.
Fractional Korovkin theory based on statistical convergence.
(English)
[J] Serdica Math. J. 35, No. 4, 381-396 (2009). ISSN 0204-4110

Summary: We obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.
MSC 2000:
*41A25 Degree of approximation, etc.
41A36 Approximation by positive operators
40G15

Keywords: Korovkin theorem; statistical convergence; fractional calculus; Caputo fractional derivatives

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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