Matches in SemOpenAlex for { <https://semopenalex.org/work/W2035191796> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2035191796 endingPage "70" @default.
- W2035191796 startingPage "61" @default.
- W2035191796 abstract "Consider the Hardy-type integral operator T:Lp(a,b)→Lp(a,b),−∞⩽a<b⩽∞, which is defined by(Tf)(x)=v(x)∫axu(t)f(t)dt. In the papers by Edmunds et al. (J. London Math. Soc. (2) 37 (1988) 471) and Evans et al. (Studia Math. 130 (2) (1998) 171) upper and lower estimates and asymptotic results were obtained for the approximation numbers an(T) of T. In case p=2 for “nice” u and v these results were improved in Edmunds et al. (J. Anal. Math. 85 (2001) 225). In this paper, we extend these results for 1<p<∞ by using a new technique. We will show that under suitable conditions on u and v, limsupn→∞n1/2λp−1/p∫ab|u(t)v(t)|dt−nan(T)⩽c(||u′||p′/(p′+1)+||v′||p/(p+1))(||u||p′+||v||p)+3αp||uv||1,where ||w||p=(∫ab|w(t)|pdt)1/p and λp is the first eigenvalue of the p-Laplacian eigenvalue problem on (0,1)." @default.
- W2035191796 created "2016-06-24" @default.
- W2035191796 creator A5059333102 @default.
- W2035191796 date "2003-03-01" @default.
- W2035191796 modified "2023-09-25" @default.
- W2035191796 title "Improved estimates for the approximation numbers of Hardy-type operators" @default.
- W2035191796 cites W1228880163 @default.
- W2035191796 cites W1971776261 @default.
- W2035191796 cites W1976852419 @default.
- W2035191796 cites W1981794418 @default.
- W2035191796 cites W2069687788 @default.
- W2035191796 doi "https://doi.org/10.1016/s0021-9045(02)00043-6" @default.
- W2035191796 hasPublicationYear "2003" @default.
- W2035191796 type Work @default.
- W2035191796 sameAs 2035191796 @default.
- W2035191796 citedByCount "27" @default.
- W2035191796 countsByYear W20351917962012 @default.
- W2035191796 countsByYear W20351917962013 @default.
- W2035191796 countsByYear W20351917962016 @default.
- W2035191796 countsByYear W20351917962017 @default.
- W2035191796 countsByYear W20351917962020 @default.
- W2035191796 countsByYear W20351917962021 @default.
- W2035191796 countsByYear W20351917962022 @default.
- W2035191796 crossrefType "journal-article" @default.
- W2035191796 hasAuthorship W2035191796A5059333102 @default.
- W2035191796 hasConcept C104317684 @default.
- W2035191796 hasConcept C114614502 @default.
- W2035191796 hasConcept C121332964 @default.
- W2035191796 hasConcept C134306372 @default.
- W2035191796 hasConcept C158448853 @default.
- W2035191796 hasConcept C158693339 @default.
- W2035191796 hasConcept C165700671 @default.
- W2035191796 hasConcept C17020691 @default.
- W2035191796 hasConcept C185592680 @default.
- W2035191796 hasConcept C18903297 @default.
- W2035191796 hasConcept C24209939 @default.
- W2035191796 hasConcept C2777299769 @default.
- W2035191796 hasConcept C33923547 @default.
- W2035191796 hasConcept C55493867 @default.
- W2035191796 hasConcept C62520636 @default.
- W2035191796 hasConcept C86339819 @default.
- W2035191796 hasConcept C86803240 @default.
- W2035191796 hasConceptScore W2035191796C104317684 @default.
- W2035191796 hasConceptScore W2035191796C114614502 @default.
- W2035191796 hasConceptScore W2035191796C121332964 @default.
- W2035191796 hasConceptScore W2035191796C134306372 @default.
- W2035191796 hasConceptScore W2035191796C158448853 @default.
- W2035191796 hasConceptScore W2035191796C158693339 @default.
- W2035191796 hasConceptScore W2035191796C165700671 @default.
- W2035191796 hasConceptScore W2035191796C17020691 @default.
- W2035191796 hasConceptScore W2035191796C185592680 @default.
- W2035191796 hasConceptScore W2035191796C18903297 @default.
- W2035191796 hasConceptScore W2035191796C24209939 @default.
- W2035191796 hasConceptScore W2035191796C2777299769 @default.
- W2035191796 hasConceptScore W2035191796C33923547 @default.
- W2035191796 hasConceptScore W2035191796C55493867 @default.
- W2035191796 hasConceptScore W2035191796C62520636 @default.
- W2035191796 hasConceptScore W2035191796C86339819 @default.
- W2035191796 hasConceptScore W2035191796C86803240 @default.
- W2035191796 hasIssue "1" @default.
- W2035191796 hasLocation W20351917961 @default.
- W2035191796 hasOpenAccess W2035191796 @default.
- W2035191796 hasPrimaryLocation W20351917961 @default.
- W2035191796 hasRelatedWork W1975093741 @default.
- W2035191796 hasRelatedWork W2000428638 @default.
- W2035191796 hasRelatedWork W2046443717 @default.
- W2035191796 hasRelatedWork W2060388431 @default.
- W2035191796 hasRelatedWork W2266074305 @default.
- W2035191796 hasRelatedWork W2360095388 @default.
- W2035191796 hasRelatedWork W2361676460 @default.
- W2035191796 hasRelatedWork W2962871718 @default.
- W2035191796 hasRelatedWork W2962932228 @default.
- W2035191796 hasRelatedWork W4298371148 @default.
- W2035191796 hasVolume "121" @default.
- W2035191796 isParatext "false" @default.
- W2035191796 isRetracted "false" @default.
- W2035191796 magId "2035191796" @default.
- W2035191796 workType "article" @default.