Dũng Dinh

activity

20102026

most citedHyperbolic Cross Approximation

26 citations · 46 across the 28 of their papers we have counts for

collaborators

Showing 2013 · math.NAShow all

2 papers · 2 filters

math.NA2013

Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square

Dinh Dũng, Tino Ullrich

We prove lower bounds for the error of optimal cubature formulae for $d$ -variate functions from Besov spaces of mixed smoothness $B_{p, θ}^{α} (G^{d})$ in the case $0 < p, θ\le…

math.NA2013★ 3 cited

New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness

Alexey Chernov, Dinh Dung

We are aiming at sharp and explicit-in-dimension estimations of the cardinality of $s$ -dimensional hyperbolic crosses where $s$ may be large, and applications in high-dimensional a…