Statistical convergence applied to Korovkin-type approximation theory


We present two general sequences of positive linear operators. The first is introduced by using a class of dependent random variables, and the second is a mixture between two linear operators of discrete type. Our goal is to study their statistical convergence to the approximated function. This type of convergence can replace classical results provided by Bohman-Korovkin theorem. A particular case is delivered.


Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Positive linear operator, Bohman-Korovkin theorem, statistical convergence, Bernstein operator, Baskakov operator.

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O. Agratini, Statistical convergence applied to Korovkin-type approximation theory, WSEAS Transactions on Mathematics, 16 (2017), pp. 183-186. 


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WSEAS Transactions on Mathematics

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World Scientific and Engineering Academy and Society

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