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

Carlo Bardaro; Ilaria Mantellini

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

机译：在多变量半离散采样类型运算符的点逼近属性

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AbstractIn 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.

机译：<标题>抽象 ara id =“par1”>在本文中，考虑了广义Durrmeyer采样类型系列的多变量扩展。我们建立了Voronovskaja类型公式和定量版本。最后讨论了一些特定的例子。

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来源
《Results in mathematics》 |2017年第3期|共24页
作者
Carlo Bardaro; Ilaria Mantellini;
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作者单位

Department of Mathematics and Informatics University of Perugia;

Department of Mathematics and Informatics University of Perugia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Voronovskaja-type formula; moments; multivariate generalized Durrmeyer sampling series; Peetre K-functional;

机译：voronovskaja型公式;矩;多变量通用Durrmeyer采样系列;Peetre K-unifulal;

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1. On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators [J] . Carlo Bardaro, Ilaria Mantellini Results in mathematics . 2017,第3期

机译：在多变量半离散采样类型运算符的点逼近属性
2. Approximation by nonlinear multivariate sampling kantorovich type operators and applications to image processing [J] . Costarelli D., Vinti G. Numerical Functional Analysis and Optimization . 2013,第7a9期

机译：非线性多元采样kantorovich型算子的逼近及其在图像处理中的应用
3. Multivariate moment type operators: approximation properties in Orlicz spaces [J] . Carlo Bardaro, Ilaria Mantellini Journal of Mathematical Inequalities . 2008,第2期

机译：多元矩型算子：Orlicz空间中的逼近性质
4. On approximation properties of generalized Kantorovich-type sampling operators [C] . Orlova Olga, Tamberg Gert 2015 International Conference on Sampling Theory and Applications . 2015

机译：广义Kantorovich型采样算子的逼近性质。
5. Oscillatory integral operators related to pointwise convergence of Schroedinger operators [D] . Kolasa, Lawrence Alexander 1994

机译：与Schroedinger算子的逐点收敛性有关的振荡积分算子
6. Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of ... formula ...-periodic functions [O] . Mateusz Kubiak, Włodzimierz Łenski, Bogdan Szal -1

机译：... ...周期函数的共轭傅里叶级数的矩阵算子对修正的共轭函数的逐点逼近
7. MULTIVARIATE MOMENT TYPE OPERATORS: APPROXIMATION PROPERTIES IN ORLICZ SPACES [O] . Carlo Bardaro, Ilaria Mantellini 2015

机译：多元矩形算子：ORLICZ空间中的逼近性质
8. Study in multivariate approximations for steering and other control functions in space flight operations of saturn type vehicles final report [R] . Vance, R. J. 1964

机译：研究土星式车辆空间飞行作业中转向和其他控制功能的多变量近似

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

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