Nonlinear versions of Korovkin's abstract theorems

被引：9
|
作者：
Gal, Sorin G. [1 ]
Niculescu, Constantin P. [2 ]
机构：
[1] Univ Oradea, Dept Math & Comp Sci, Univ St 1, Oradea 410087, Romania
[2] Univ Craiova, Dept Math, Craiova 200585, Romania
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 02期
关键词：
Choquet' integral; Korovkin theorem; Weak additivity; Monotone operator; Sublinear operator; (locally) compact metric space;
D O I：
10.1007/s13398-021-01187-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove Korovkin type theorems for sequences of sublinear, monotone and weak additive operators acting on function spaces C(X), where X is a compact or a locally compact metric space. Our results are illustrated by a series of examples.
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页数：17
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