Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence

被引：3
|
作者：
Boccuto, Antonio [1 ]
Demirci, Kamil [2 ]
Yildiz, Sevda [2 ]
机构：
[1] Univ Perugia, Dept Math & Comp Sci, Perugia, Italy
[2] Sinop Univ, Dept Math, Sinop, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 04期
关键词：
Korovkin theorem; relative uniform convergence; bivariate Kantorovich operator; LINEAR INTEGRAL-OPERATORS; NEURAL-NETWORK OPERATORS; APPROXIMATION THEOREMS; SPACES; SEQUENCES; FAMILY;
D O I：
10.3906/mat-1912-14
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1238 / 1249
页数：12
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