4 citations · 5 across the 2 of their papers we have counts for
3 papers
math.NA2015
Counting via entropy: new preasymptotics for the approximation numbers of Sobolev embeddings
Thomas Kühn, Sebastian Mayer, Tino Ullrich
In this paper, we reveal a new connection between approximation numbers of periodic Sobolev type spaces, where the smoothness weights on the Fourier coefficients are induced by a (…
math.NA2013★ 4 cited
Approximation of mixed order Sobolev functions on the -torus -- Asymptotics, preasymptotics and -dependence
Thomas Kuehn, Winfried Sickel, Tino Ullrich
We investigate the approximation of -variate periodic functions in Sobolev spaces of dominating mixed (fractional) smoothness on the -dimensional torus, where the appro…
math.PR2010★ 1 cited
Small deviations for a family of smooth Gaussian processes
Frank Aurzada, Fuchang Gao, Thomas Kühn +2
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processes. The canonical process from the family has the same scaling property as standa…