On multivariate projection operators

被引：20
作者：
Szili, L. [2 ]
Vertesi, P. [1 ]
机构：
[1] Hungarian Acad Sci, Renyi Math Inst, H-1053 Budapest, Hungary
[2] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary
来源：
JOURNAL OF APPROXIMATION THEORY | 2009年 / 159卷 / 01期
关键词：
Rectangular partial sums; Triangular partial sums; Operator norm of the multivariate Fourier series; Projection operators; FOURIER-SERIES; INTERPOLATION;
D O I：
10.1016/j.jat.2008.11.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with multivariate Fourier series considering triangular type partial sums. Among others we give the exact order of the corresponding operator norm. Moreover, a generalization of the so-called Faber-Marcinkiewicz-Berman theorem has been proved. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：154 / 164
页数：11
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