26 citations · 46 across the 28 of their papers we have counts for
4 papers · 1 filter
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 -variate functions from Besov spaces of mixed smoothness in the case $0 < p, θ\le…
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 -dimensional hyperbolic crosses where may be large, and applications in high-dimensional a…
A splitting algorithm for system of composite monotone inclusions
Dinh Dung, Bang Cong Vu
We propose a splitting algorithm for solving a system of composite monotone inclusions formulated in the form of the extended set of solutions in real Hilbert spaces. The resluting…
Whitney's theorem for local anisotropic polynomial L_p-approximation, 0<p<1
Dinh Dũng, Nguyen Van Dũng, Nguyen Dinh Hoa
Dinh Dũng and T. Ullrich have proven a multivariate Whitney's theorem for the local anisotropic polynomial approximation in for , where is a -pa…