Asymptotic Formulae for Linear Combinations of Generalized Sampling Operators

被引：32
作者：
Bardaro, Carlo [1 ]
Mantellini, Ilaria [1 ]
机构：
[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2013年 / 32卷 / 03期
关键词：
Voronovskaja-type formula; moments; generalized sampling operators; K-functional; APPROXIMATION; THEOREMS;
D O I：
10.4171/ZAA/1485
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give some Voronovskaja formula for linear combinations of generalized sampling operators and we furnish also a quantitative version in terms of the classical Peetre K-functional. This provides a better order of approximation in the asymptotic formula. We apply the general theory to various kernels: Bochner-Riesz kernel, translates of B-splines and Jackson type kernel.
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页码：279 / 298
页数：20
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