Abstract
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.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Positive linear operator, Bohman-Korovkin theorem, statistical convergence, Bernstein operator, Baskakov operator.
Paper coordinates
O. Agratini, Statistical convergence applied to Korovkin-type approximation theory, WSEAS Transactions on Mathematics, 16 (2017), pp. 183-186.
About this paper
Journal
WSEAS Transactions on Mathematics
Publisher Name
World Scientific and Engineering Academy and Society
Print ISSN
1109-2769
Online ISSN
2224-2880
google scholar link
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