Octavian Agratini, "Statistical Convergence Applied to Korovkin-Type Approximation Theory," WSEAS Transactions on Mathematics, vol. 16, pp. 183-186, 2017, DOI:
Octavian Agratini. Statistical Convergence Applied to Korovkin-Type Approximation Theory.
WSEAS Transactions on Mathematics. 2017;16:183-186.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
Statistical Convergence Applied to Korovkin-Type Approximation Theory
Author:
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.
Keywords:
Positive linear operator, Bohman-Korovkin theorem, statistical convergence, Bernstein operator, Baskakov operator
Pages: 183-186 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #21 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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