On Linear Combinations of Multivariate Generalized Sampling Type Series

被引：15
作者：
Bardaro, Carlo [1 ]
Mantellini, Ilaria [1 ]
机构：
[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 04期
关键词：
Voronovskaja-type formula; moments; multivariate generalized sampling type series; linear combinations; KANTOROVICH OPERATORS; APPROXIMATION; CONVERGENCE; PREDICTION; SIGNALS;
D O I：
10.1007/s00009-013-0280-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper suitable linear combinations for a multivariate extension of the generalized sampling series are considered, also in the Kantorovich version. These combinations provide a better order of approximation. Finally the particular example of the Bochner-Riesz kernel is discussed.
引用
收藏
页码：1833 / 1852
页数：20
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