A VORONOVSKAYA-TYPE THEOREM FOR A GENERAL CLASS OF DISCRETE OPERATORS

被引：30
|
作者：
Bardaro, Carlo [1 ]
Mantellini, Ilaria [1 ]
机构：
[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2009年 / 39卷 / 05期
关键词：
Voronovskaya-type formula; moments; generalized sampling operators; discrete operators; MEYER-KONIG; APPROXIMATION; POLYNOMIALS;
D O I：
10.1216/RMJ-2009-39-5-1411
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Here we introduce a general class of discrete operators, not necessarily positive and we give a Voronovskaya-type formula for this class. Applications to generalized sampling-type operators and to a further generalization of the classical Szasz-Mirak'jan operator are given. Finally a survey on Voronovskaya's formula for classical discrete operators is treated.
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页码：1411 / 1442
页数：32
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