Korovkin-Type Theorems for Weakly Nonlinear and Monotone Operators

被引：5
|
作者：
Gal, Sorin G. [1 ,2 ]
Niculescu, Constantin P. [3 ,4 ]
机构：
[1] Univ Oradea, Dept Math & Comp Sci, Univ St 1, Oradea 410087, Romania
[2] Acad Romanian Scientists, Splaiul Ind 54, Bucharest 050094, Romania
[3] Univ Craiova, Dept Math, Craiova 200585, Romania
[4] Romanian Acad, Inst Math, Bucharest, Romania
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 02期
关键词：
Korovkin-type theorems; monotone operator; sublinear operator; convergence almost everywhere; convergence in measure; convergence in L-P-norm; choquet's integral;
D O I：
10.1007/s00009-023-02271-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove analogs of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our results concern the convergence almost everywhere, the convergence in measure and the convergence in L-P-norm. Several results illustrating the theory are also included.
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页数：20
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