Mario Ullrich

activity

20102023

most citedA sharp upper bound for sampling numbers in

L_{2}

53 citations · 640 across the 36 of their papers we have counts for

collaborators

Showing 2019 · math.NAShow all

3 papers · 2 filters

math.NA2019

On the fixed volume discrepancy of the Fibonacci sets in the integral norms

Vladimir Temlyakov, Mario Ullrich

This paper is devoted to the study of a discrepancy-type characteristic -- the fixed volume discrepancy -- of the Fibonacci point set in the unit square. It was observed recently t…

math.NA2019★ 10 cited

Function values are enough for $L_{2}$ -approximation

David Krieg, Mario Ullrich

We study the $L_{2}$ -approximation of functions from a Hilbert space and compare the sampling numbers with the approximation numbers. The sampling number $e_{n}$ is the minimal worst c…

math.NA2019

On the power of random information

Aicke Hinrichs, David Krieg, Erich Novak +2

We study approximation and integration problems and compare the quality of optimal information with the quality of random information. For some problems random information is almos…

On the fixed volume discrepancy of the Fibonacci sets in the integral norms

Function values are enough for L2​-approximation

On the power of random information

Function values are enough for $L_{2}$ -approximation