Anisotropic approximation on space–time domains
Abstract
We investigate anisotropic (piecewise) polynomial approximation of functions in Lebesgue spaces as well as anisotropic Besov spaces. For this purpose we study temporal and spatial moduli of smoothness and their properties. In particular, we prove Jackson- and Whitney-type inequalities on Lipschitz cylinders, i.e., space–time domains I × D with a finite interval I and a bounded Lipschitz domain D ⊂ R d , d ∈ N . As an application, we prove a direct estimate result for adaptive space–time finite element approximation in the discontinuous setting.
Fields of Study & Subjects
Mathematical Approximation and Integration
Advanced Harmonic Analysis Research
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Journal of Approximation Theory
- Volume
- 317
- Pages
- 106282–106282
- Publication date
- 8 January 2026
- Language
- EN