For Lipschitz and Sobolev functions on bounded Jordan domains, the asymptotic error constant for optimal approximation and integration depends only on the domain's volume, and explicit uniform bounds nearly match it.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NA 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Algorithms and Complexity for Functions on General Domains
For Lipschitz and Sobolev functions on bounded Jordan domains, the asymptotic error constant for optimal approximation and integration depends only on the domain's volume, and explicit uniform bounds nearly match it.