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.
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页数：20
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