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math.FA2011★ 2 cited
Korovkin type theorem for iterates of certain positive linear operators
Nazim I. Mahmudov
In this paper we prove that if T:C[0,1] \rightarrow C[0,1] is a positive linear operator with T(e_0)=1 and T(e_1)-e_1 does not change the sign, then the iterates T^{m} converges to…
math.FA2010
Korovkin type theorem and iterates of certain positive linear operators
N. I. Mahmudov
In this paper we prove Korovkin type theorem for iterates of general positive linear operators and derive quantitative estima…