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.
Equi-statistical convergence, positive linear operator, Korovkin type theorem
KARAKUŞ, SEVDA and DEMİRCİ, KAMİL
"Equi-Statistical Extension of the Korovkin Type Approximation Theorem,"
Turkish Journal of Mathematics: Vol. 33:
2, Article 7.
Available at: https://journals.tubitak.gov.tr/math/vol33/iss2/7