Quadrature rules and distribution of points on manifolds

Brandolini, Luca; Choirat, Christine; Colzani, Leonardo; Gigante, Giacomo; Seri, Raffaello; Travaglini, Giancarlo

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.

BRANDOLINI, LUCA, GIGANTE, GIACOMO, Quadrature rules and distribution of points onmanifolds (Quaderni del Dipartimento di Ingegneria. Serie "Matematica e Statistica" n. 8/MS – 2013). Bergamo: Università degli studi di Bergamo. Retrieved from http://hdl.handle.net/10446/29320

Titolo:	Quadrature rules and distribution of points on manifolds
Tutti gli autori:	Brandolini, Luca; Choirat, Christine; Colzani, Leonardo; Gigante, Giacomo; Seri, Raffaello; Travaglini, Giancarlo
Data di pubblicazione:	2013
Abstract (eng):	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.
Nelle collezioni:	Working papers ENG. Mathematics and Statistics Series

File allegato/i alla scheda:

File	Descrizione	Tipologia	Licenza
MS-08-13.pdf		publisher's version - versione editoriale	Licenza default Aisberg	Open AccessVisualizza/Apri

Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10446/29320

Citazioni