Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299693003> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W4299693003 abstract "We present a lower error bound for approximating linear multivariate operators defined over Hilbert spaces in terms of the error bounds for appropriately constructed linear functionals as long as algorithms use function values. Furthermore, some of these linear functionals have the same norm as the linear operators. We then apply this error bound for linear (unweighted) tensor products. In this way we use negative tractability results known for linear functionals to conclude the same negative results for linear operators. In particular, we prove that $L_2$-multivariate approximation defined for standard Sobolev space suffers the curse of dimensionality if function values are used although the curse is not present if linear functionals are allowed." @default.
- W4299693003 created "2022-10-02" @default.
- W4299693003 creator A5031973559 @default.
- W4299693003 creator A5054551768 @default.
- W4299693003 date "2015-11-18" @default.
- W4299693003 modified "2023-10-13" @default.
- W4299693003 title "Tractability of Multivariate Problems for Standard and Linear Information in the Worst Case Setting: Part I" @default.
- W4299693003 doi "https://doi.org/10.48550/arxiv.1511.05803" @default.
- W4299693003 hasPublicationYear "2015" @default.
- W4299693003 type Work @default.
- W4299693003 citedByCount "0" @default.
- W4299693003 crossrefType "posted-content" @default.
- W4299693003 hasAuthorship W4299693003A5031973559 @default.
- W4299693003 hasAuthorship W4299693003A5054551768 @default.
- W4299693003 hasBestOaLocation W42996930031 @default.
- W4299693003 hasConcept C105795698 @default.
- W4299693003 hasConcept C111030470 @default.
- W4299693003 hasConcept C134306372 @default.
- W4299693003 hasConcept C14036430 @default.
- W4299693003 hasConcept C155281189 @default.
- W4299693003 hasConcept C161584116 @default.
- W4299693003 hasConcept C17744445 @default.
- W4299693003 hasConcept C191795146 @default.
- W4299693003 hasConcept C199539241 @default.
- W4299693003 hasConcept C202444582 @default.
- W4299693003 hasConcept C28826006 @default.
- W4299693003 hasConcept C3019018024 @default.
- W4299693003 hasConcept C33923547 @default.
- W4299693003 hasConcept C34388435 @default.
- W4299693003 hasConcept C48921125 @default.
- W4299693003 hasConcept C49766605 @default.
- W4299693003 hasConcept C51255310 @default.
- W4299693003 hasConcept C62799726 @default.
- W4299693003 hasConcept C64946054 @default.
- W4299693003 hasConcept C77553402 @default.
- W4299693003 hasConcept C78458016 @default.
- W4299693003 hasConcept C86803240 @default.
- W4299693003 hasConcept C99730327 @default.
- W4299693003 hasConceptScore W4299693003C105795698 @default.
- W4299693003 hasConceptScore W4299693003C111030470 @default.
- W4299693003 hasConceptScore W4299693003C134306372 @default.
- W4299693003 hasConceptScore W4299693003C14036430 @default.
- W4299693003 hasConceptScore W4299693003C155281189 @default.
- W4299693003 hasConceptScore W4299693003C161584116 @default.
- W4299693003 hasConceptScore W4299693003C17744445 @default.
- W4299693003 hasConceptScore W4299693003C191795146 @default.
- W4299693003 hasConceptScore W4299693003C199539241 @default.
- W4299693003 hasConceptScore W4299693003C202444582 @default.
- W4299693003 hasConceptScore W4299693003C28826006 @default.
- W4299693003 hasConceptScore W4299693003C3019018024 @default.
- W4299693003 hasConceptScore W4299693003C33923547 @default.
- W4299693003 hasConceptScore W4299693003C34388435 @default.
- W4299693003 hasConceptScore W4299693003C48921125 @default.
- W4299693003 hasConceptScore W4299693003C49766605 @default.
- W4299693003 hasConceptScore W4299693003C51255310 @default.
- W4299693003 hasConceptScore W4299693003C62799726 @default.
- W4299693003 hasConceptScore W4299693003C64946054 @default.
- W4299693003 hasConceptScore W4299693003C77553402 @default.
- W4299693003 hasConceptScore W4299693003C78458016 @default.
- W4299693003 hasConceptScore W4299693003C86803240 @default.
- W4299693003 hasConceptScore W4299693003C99730327 @default.
- W4299693003 hasLocation W42996930031 @default.
- W4299693003 hasLocation W42996930032 @default.
- W4299693003 hasOpenAccess W4299693003 @default.
- W4299693003 hasPrimaryLocation W42996930031 @default.
- W4299693003 hasRelatedWork W131211467 @default.
- W4299693003 hasRelatedWork W1985852804 @default.
- W4299693003 hasRelatedWork W2019940400 @default.
- W4299693003 hasRelatedWork W2133601856 @default.
- W4299693003 hasRelatedWork W2138367573 @default.
- W4299693003 hasRelatedWork W2351921131 @default.
- W4299693003 hasRelatedWork W2393755963 @default.
- W4299693003 hasRelatedWork W3215227849 @default.
- W4299693003 hasRelatedWork W4253280642 @default.
- W4299693003 hasRelatedWork W4256287912 @default.
- W4299693003 isParatext "false" @default.
- W4299693003 isRetracted "false" @default.
- W4299693003 workType "article" @default.