Statistical Korovkin-type theorem for monotone and sublinear operators

被引：0
|
作者：
Iancu, Ionut T. [1 ]
机构：
[1] Univ Oradea, Dept Math & Comp Sci, Univ 1, Oradea 410087, Romania
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 02期
关键词：
Korovkin-type theorems; monotone and sublinear operator; nonlinear Choquet integral; statistical convergence; CONVERGENCE; SEQUENCES;
D O I：
10.24193/subbmath.2023.2.14
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
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页码：399 / 408
页数：10
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