Sparse-grid Sampling Recovery and Numerical Integration of Functions Having Mixed Smoothness

被引：0

作者：

Dung, Dinh ^{[1
]}

机构：

[1] Vietnam Natl Univ, Informat Technol Inst, 144 Xuan Thuy,Cau Giay, Hanoi, Vietnam

来源：

ACTA MATHEMATICA VIETNAMICA | 2024年 / 49卷 / 03期

关键词：

Sampling recovery; Sampling widths; Numerical weighted integration; Quadrature; Unweighted and weighted Sobolev spaces of mixed smoothness; Sparse grids; Hyperbolic crosses in the function domain; Asymptotic order; OPTIMAL ORDER; SPACES; SOBOLEV; QUADRATURE; BOUNDS; RULES; ERROR; CUBATURE;

D O I：

10.1007/s40306-024-00527-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a short survey of recent results on sparse-grid linear algorithms of approximate recovery and integration of functions possessing a unweighted or weighted Sobolev mixed smoothness based on their sampled values at a certain finite set. Some of them are extended to more general cases.

引用

页码：377 / 426

页数：50

共 50 条

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