On the Rate of Almost Everywhere Convergence of Combinations and Multivariate Averages

Chen Jiecheng; Fan Dashan; Zhao Fayou

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On the Rate of Almost Everywhere Convergence of Combinations and Multivariate Averages

机译：关于几乎无处不在的组合和多变量平均值的收敛速度

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摘要

The main purpose of this paper is to establish results concerning the rate of almost everywhere convergence of the combinations and multivariate averages on Sobolev type spaces on the Euclidean space R-n. The saturation of convergence is also obtained. As an application, the corresponding results can be extended to the n-torus T-n, by using some transference theorems.

机译：本文的主要目的是建立关于欧几里夫空间R-N上的SoboLev型空间的组合和多变量平均值的几乎各处的汇聚的结果。还获得了收敛的饱和度。作为应用，通过使用一些转移定理，相应的结果可以扩展到N-Torus T-N.

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来源
《Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis》 |2019年第3期|共27页
作者
Chen Jiecheng; Fan Dashan; Zhao Fayou;
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作者单位

Zhejiang Normal Univ Dept Math Jinhua 321000 Zhejiang Peoples R China;

Zhejiang Normal Univ Dept Math Jinhua 321000 Zhejiang Peoples R China;

Shanghai Univ Dept Math Shanghai 200444 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Combination and multivariate average; Multipliers; Almost everywhere; Saturation; Fourier series;

机译：组合和多变量平均值;乘法器;几乎无处不在;饱和;傅里叶系列;

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1. On the Rate of Almost Everywhere Convergence of Combinations and Multivariate Averages [J] . Chen Jiecheng, Fan Dashan, Zhao Fayou Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis . 2019,第3期

机译：关于几乎无处不在的组合和多变量平均值的收敛速度
2. Combinations of multivariate averages [J] . Dai F, Ditzian Z Journal of Approximation Theory . 2004,第2期

机译：多元平均值的组合
3. Adaptive Strategies for Accelerating the Convergence of Average Cost Markov Decision Processes Using a Moving Average Digital Filter [J] . Edilson F. Arruda, Fabrício Ourique American Journal of Operations Research . 2013,第6期

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4. Limiting rate behavior and rate allocation strategies for average consensus problems with bounded convergence [C] . Yildiz M.E., Scaglione A. IEEE International Conference on Acoustics, Speech and Signal Processing . 2008

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7. Approximation properties of combination of multivariate averages on Triebel-Lizorkin spaces [O] . Shaoy ng He 2021

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On the Rate of Almost Everywhere Convergence of Combinations and Multivariate Averages

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