This book provides a systematic survey of classical and recent results on hyperbolic cross
approximation. Motivated by numerous applications, the last two decades have seen great …

The first chapters of this book deal with Haar bases, Faber bases and some spline bases for
function spaces in Euclidean $ n $-space and $ n $-cubes. These are used in the …

The aim of these lectures is to present a survey of some results on spaces of functions with
dominating mixed smoothness. These results concern joint work with Winfried Sickel and …

This book is a survey on multivariate approximation. The 20th century was a period of
transition from univariate problems to multivariate problems in a number of areas of …

Besov as well as Sobolev spaces of dominating mixed smoothness are shown to be tensor
products of Besov and Sobolev spaces defined on R. Using this we derive several useful …

We study the spaces B^s(⋅)_p(⋅),q(⋅)(R^n) and F^s(⋅)_p(⋅),q(⋅)(R^n) of Besov and
Triebel-Lizorkin type as introduced recently in Almeida and Hästö (J. Funct. Anal. 258 (5) …

Coorbit space theory is an abstract approach to function spaces and their atomic
decompositions. The original theory developed by Feichtinger and Gröchenig in the late …

Smolyak’s Algorithm, Sampling on Sparse Grids and Function Spaces of Dominating Mixed
Smoothness Page 1 Smolyak’s Algorithm, Sampling on Sparse Grids and Function Spaces of …

In a recent article, two of the present authors studied Frolov's cubature formulae and their
optimality in Besov–Triebel–Lizorkin spaces of functions with dominating mixed smoothness …

Full article: Spline interpolation on sparse grids Skip to Main Content Taylor and Francis Online
homepage Browse Search Publish Login | Register Log in or Register Login Register Cart Add to …