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

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2024-04-23 DOI:10.1007/s40306-024-00527-7

Dinh Dũng

引用次数: 0

Abstract

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.

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具有混合平滑性的函数的稀疏网格采样恢复和数值积分

我们简要介绍了关于稀疏网格线性算法的最新成果，这些算法基于函数在某个有限集合上的采样值，对具有非加权或加权索波列夫混合平滑度的函数进行近似恢复和积分。其中一些结果被扩展到更一般的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.