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20142026
most citedChange of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube

33 citations · 48 across the 19 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.NA2015★ 33 cited

Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube

Van Kien Nguyen, Mario Ullrich, Tino Ullrich

In a recent article by two of the present authors it turned out that Frolov's cubature formulae are optimal and universal for various settings (Besov-Triebel-Lizorkin spaces) of fu…

math.FA2015

Weyl and Bernstein Numbers of Embeddings of Sobolev Spaces with Dominating Mixed Smoothness

Van Kien Nguyen

This paper is a continuation of the papers [21] and [22]. Here we shall investigate the asymptotic behaviour of Weyl and Bernstein numbers of embeddings of Sobolev spaces with domi…