Modular filter convergence theorems for abstract sampling type operators

被引：15

作者：

Bardaro, C. ^{[1
]}

Boccuto, A. ^{[1
]}

Dimitriou, X. ^{[2
]}

Mantellini, I. ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, I-06123 Perugia, Italy

[2] Univ Athens, Dept Math, Athens 15784, Greece

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 11期

关键词：

filter convergence; filter exhaustiveness; filter convergence in measure; integral operator; sampling series; modular; modular convergence; filter singularity; 41A25; 41A35; 46E30; 47G10; NONLINEAR INTEGRAL-OPERATORS; APPROXIMATION; SIGNALS; RECONSTRUCTION;

D O I：

10.1080/00036811.2012.738480

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of approximating a real-valued function f by considering sequences of general operators of sampling type, which include both discrete and integral ones. This approach gives a unitary treatment of various kinds of classical operators, such as Urysohn integral operators, in particular convolution integrals, and generalized sampling series.

引用

页码：2404 / 2423

页数：20

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