Anastassiou, G. A.; Duman, O. Fractional Korovkin theory based on statistical convergence. (English) Zbl 1224.41050 Serdica Math. J. 35, No. 4, 381-396 (2009). 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. Cited in 2 Documents MSC: 41A25 Rate of convergence, degree of approximation 41A36 Approximation by positive operators 40G15 Summability methods using statistical convergence Keywords:Korovkin theorem; statistical convergence; fractional calculus; Caputo fractional derivatives PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{O. Duman}, Serdica Math. J. 35, No. 4, 381--396 (2009; Zbl 1224.41050)