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, A, DEMİRCİ, K, & YILDIZ, S (2020). Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence. Turkish Journal of Mathematics 44 (4): 1238-1249. https://doi.org/10.3906/mat-1912-14
