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Fractional Korovkin Theory Based on Statistical Convergence

Anastassiou, George A., Duman, Oktay (2009)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, 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.

Fractional Trigonometric Korovkin Theory in Statistical Sense

Anastassiou, George A., Duman, Oktay (2010)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.

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