Korovkin-Type Theorems for Statistically Convergent Sequences of Monotone and Sublinear Operators

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作者
Sorin G. Gal
Ionut T. Iancu
机构
[1] University of Oradea,Department of Mathematics and Computer Science
[2] Academy of Romanian Scientists,undefined
关键词
Korovkin-type theorems; Monotone and sublinear operator; Nonlinear Choquet integral; Statistical convergence almost everywhere; Statistical convergence in measure; Statistical convergence in ; 41A35; 41A36; 41A63;
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摘要
In this paper, we study the statistical convergence almost everywhere, in measure and in Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p}$$\end{document} in Korovkin-type theorem for monotone and sublinear operators. Our results are illustrated by a series of concrete examples.
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