We study the recovery of functions in the uniform norm based on function...
It is well-known that the problem of sampling recovery in the L_2-norm o...
We study the integration problem on Hilbert spaces of (multivariate) per...
We study the complexity of high-dimensional approximation in the L_2-nor...
For a class F of complex-valued functions on a set D, we denote by
g_n(F...
We consider the task of recovering a Sobolev function on a connected com...
Function values are, in some sense, "almost as good" as general linear
i...
We study L_q-approximation and integration for functions from the Sobole...
In the first part we have shown that, for L_2-approximation of functions...
We show that independent and uniformly distributed sampling points are a...
We prove lower bounds for the worst case error of quadrature formulas th...
The dispersion of a point set in [0,1]^d is the volume of the largest ax...
We study L_2-approximation of functions from Hilbert spaces H in which
f...
For any natural number d and positive number ε, we present a
point set i...