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

被引：31

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.

引用

页码：1411 / 1442

页数：32

共 44 条

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[23] A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators
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Agrawal, P. N.
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