Acta Mathematica Vietnamica
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Sparse-grid Sampling Recovery and Numerical Integration of Functions Having Mixed Smoothness
Dinh Dũng
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.