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.
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 space as a topological space in which every sequence of continuous real valued functions pointwise converging to , is also -quasinormally convergent to (has a subsequence which is -quasinormally convergent to ) and make certain observations on those spaces.