On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators

被引：13

作者：

Bardaro, Carlo ^{[1
]}

Mantellini, Ilaria ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Voronovskaja-type formula; moments; multivariate generalized Durrmeyer sampling series; Peetre K-functional; FORMULAS;

D O I：

10.1007/s00025-017-0667-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper multivariate extensions of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally some particular examples are discussed.

引用

页码：1449 / 1472

页数：24

共 28 条

[1]

Altomare F., 1989, Ann. Scuola Norm. Sup. Pisa Cl. Sci., V16, P259

[2]

Altomare F., 1994, Korovkin-Type Approximation Theory and Its Applications, V17, P266

[3]

Altomare F., 2010, Surv. Approx. Theory, V5, P92

[4] On differential operators associated with Markov operators [J].

Altomare, Francesco ;

Cappelletti Montano, Mirella ;

Leonessa, Vita ;

Rasa, Ioan .

JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (06) :3612-3631

[5]

Anastassiou G.A., 2000, Approximation Theory

[6]

[Anonymous], 1967, THESIS

[7]

Bardaro C., 2007, Sampling Theory in Signal and Image Processing, V6, P29

[8]

Bardaro C., 2014, NEW PERSPECTIVES APP

[9]

Bardaro C., 2014, Jean J. Approx, V6, P143

[10] Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series [J].

Bardaro, Carlo ;

Faina, Loris ;

Mantellini, Ilaria .

MATHEMATISCHE NACHRICHTEN, 2016, 289 (14-15) :1702-1720

← 1 2 3 →