Tino Ullrich

The Gelfand widths of l p -balls for 0<p≤1

We provide sharp lower and upper bounds for the Gelfand widths of

Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross

\ell_p

Generalized coorbit space theory and inhomogeneous function spaces of Besov–Lizorkin–Triebel type

-balls in the

Spline Interpolation on Sparse Grids

N

Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits

-dimensional

Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

\ell_q^N

The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative

-space for

N-Widths and ε-Dimensions for High-Dimensional Approximations

0<p\leq 1

Change of Variable in Spaces of Mixed Smoothness and Numerical Integration of Multivariate Functions on the Unit Cube

and

Counting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev Embeddings

p<q \leq 2