Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules

被引：17

作者：

Groechenig, Karlheinz ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL OF APPROXIMATION THEORY | 2020年 / 257卷

基金：

奥地利科学基金会;

关键词：

Marcinkiewicz-Zygmund inequality; Sampling; Sobolev spaces; Least square problem; Quadrature rule; Spectral function; Weyl law; Spectral subspace; NUMERICAL-INTEGRATION; INTERPOLATION; RECONSTRUCTIONS; POLYNOMIALS; DESIGNS; BOUNDS;

D O I：

10.1016/j.jat.2020.105455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a sequence of Marcinkiewicz-Zygmund inequalities in L-2, we derive approximation theorems and quadrature rules. The derivation is completely elementary and requires only the definition of Marcinkiewicz-Zygmund inequality, Sobolev spaces, and the solution of least square problems. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：20

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