Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1912-14
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
