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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.

Statistical Convergence Applied to Korovkin-type Approximation Theory OCTAVIAN AGRATINI Babes¸-Bolyai University Faculty of Mathematics and Computer Science

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  Types, Statistical, Applied, Convergence, Approximation, Statistical convergence applied to korovkin, Korovkin, Statistical convergence applied to korovkin type approximation

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