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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.

Spaces not distinguishing pointwise and -quasinormal convergence

Pratulananda Das, Debraj Chandra (2013)

Commentationes Mathematicae Universitatis Carolinae

In this paper we extend the notion of quasinormal convergence via ideals and consider the notion of -quasinormal convergence. We then introduce the notion of Q N ( w Q N ) space as a topological space in which every sequence of continuous real valued functions pointwise converging to 0 , is also -quasinormally convergent to 0 (has a subsequence which is -quasinormally convergent to 0 ) and make certain observations on those spaces.

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