Transcription of Statistical Convergence Applied to Korovkin-type ...
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Statistical Convergence Applied to Korovkin-type ...
Statistical Convergence Appliedto Korovkin-type approximation TheoryOCTAVIAN AGRATINIB abes -Bolyai UniversityFaculty of Mathematics and Computer ScienceDepartment of MathematicsKog alniceanu Str., 1, 400084, present two general sequences of positive linear operators. The first is introduced by using a class ofdependent random variables, and the second is a mixture between two linear operators of discrete type. Our goal isto study their Statistical Convergence to the approximated function. This type of Convergence can replace classicalresults provided by Bohman- korovkin theorem. A particular case is Words:Positive linear operator, Bohman- korovkin theorem, Statistical Convergence , Bernstein operator,Baskakov IntroductionSince the fifties, positive linear operators (PLOs) playan important role in approximating a real valued func-tion.
In Approximation Theory by linear positive oper-ators, the statistical convergence has been examined for the first time in 2002 by A.D. Gadjiev and Ci-
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