We study the error in quadrature rules on a compact manifold. Our estimates are in the same spirit of the Koksma Hlawka inequality and they depend on a sort of discrepancy of the sampling points and a generalized variation of the function. In particular, we give sharp quantitative estimates for quadrature rules of functions in Sobolev classes.

Quadrature rules and distribution of points on manifolds

BRANDOLINI, Luca;GIGANTE, Giacomo;
2013-01-01

Abstract

We study the error in quadrature rules on a compact manifold. Our estimates are in the same spirit of the Koksma Hlawka inequality and they depend on a sort of discrepancy of the sampling points and a generalized variation of the function. In particular, we give sharp quantitative estimates for quadrature rules of functions in Sobolev classes.
2013
Brandolini, Luca; Choirat, Christine; Colzani, Leonardo; Gigante, Giacomo; Seri, Raffaello; Travaglini, Giancarlo
File allegato/i alla scheda:
File Dimensione del file Formato  
MS-08-13.pdf

accesso aperto

Versione: publisher's version - versione editoriale
Licenza: Licenza default Aisberg
Dimensione del file 372.77 kB
Formato Adobe PDF
372.77 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/29320
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact