Approximation of infinitely differentiable multivariate functions is not strongly tractable

F.L. Huang; S. Zhang

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Approximation of infinitely differentiable multivariate functions is not strongly tractable

机译：无限微分函数的逼近不是很容易处理

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摘要

This article studies tractability and strong tractability for multivariate approximation of infinitely differentiable functions, using either standard information or continuous linear information. We prove that this approximation problem is not strongly tractable.

机译：本文使用标准信息或连续线性信息来研究无限微分函数的多元逼近的可牵引性和强可牵引性。我们证明这个近似问题不是很容易解决的。

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来源
《Journal of complexity》 |2007年第1期|p.73-81|共9页
作者
F.L. Huang; S. Zhang;
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作者单位

School of Mathematics and Computational Science, Anhui University, Hefei 230039, China;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
information-based complexity; multivariate function approximation; tractability and strong tractability;

机译：基于信息的复杂性;多元函数逼近;可扩展性和强可扩展性;

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2. Weak and quasi-polynomial tractability of approximation of infinitely differentiable functions [J] . Jan Vybiral Journal of complexity . 2014,第2期

机译：无限微分函数逼近的弱和拟多项式易处理性
3. Exponential Convergence of an Approximation Problem for Infinitely Differentiable Multivariate Functions [J] . Yongping Liu, Guiqiao Xu, Jie Zhang Mathematical notes . 2018,第5a6期

机译：无限微分多元函数逼近问题的指数收敛性
4. Evaluating Rational Functions: Infinite Precision Is Finite Cost And Tractable On Average [C] . Blum, L., Shub, . 2001

机译：评估有理函数：无限精度是有限的成本，并且平均而言是可行的
5. Nonlinear Haar approximation of some multivariate classes of functions [D] . Andrianov, Alexander Vladimirovich 2000

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6. New Poisson inequality for the Radon transform of infinitely differentiable functions [O] . Ziyao Sun -1

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7. Approximation of infinitely differentiable multivariate functions is not strongly tractable [O] . Huang F.L., Zhang S. 2007

机译：无限微分函数的逼近不是很容易处理

Approximation of infinitely differentiable multivariate functions is not strongly tractable

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