Turkish Journal of Mathematics
DOI
10.3906/mat-1912-14
Abstract
We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of a net of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point, belonging to the domain of the involved functions. We give some examples, in which we show that our results are strict generalizations of the classical ones.
Keywords
Korovkin theorem, relative uniform convergence, bivariate Kantorovich operator
First Page
1238
Last Page
1249
Recommended Citation
BOCCUTO, ANTONIO; DEMİRCİ, KAMİL; and YILDIZ, SEVDA
(2020)
"Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence,"
Turkish Journal of Mathematics: Vol. 44:
No.
4, Article 12.
https://doi.org/10.3906/mat-1912-14
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss4/12
