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In this paper we prove Korovkin type theorem for iterates of general positive linear operators T :C [0, 1] ! C [0, 1] and derive quantitative estimates in terms of modulus of smoothness. In particular...
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems and to some of their applications concerning the approximation of continuous functions as well as of Lp-fu...
In the present paper, we introduce a new sequence of linear positive operators with the help of generating functions. We obtain some Korovkin type approximation properties for these operators and comp...
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using ...

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