- Turkish Journal of Mathematics
- Vol: 33 Issue: 2
- Equi-Statistical Extension of the Korovkin Type Approximation Theorem
Equi-Statistical Extension of the Korovkin Type Approximation Theorem
Authors : Sevda Karakuş, Kamil Demirci
Pages : 159-168
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.Keywords : Equi-statistical convergence, positive linear operator, Korovkin type theorem