Discrepancy and numerical integration in Sobolev spaces on metric measure spaces

Brandolini, Luca; Chen, William W. L.; Colzani, Leonardo; Gigante, Giacomo; Travaglini, Giancarlo

We study the error for quasi Monte Carlo quadrature rules on metric measure spaces adapted to a decomposition of the space into disjoint subsets. We consider both the error for a single given function, and the worst case error for all functions in a given class of potentials. The main tools are the classical Kintchine-Marcinkiewicz-Zygmund inequality and more recent suitable de finitions of Sobolev classes on metric measure spaces.

Titolo:	Discrepancy and numerical integration in Sobolev spaces on metric measure spaces
Tutti gli autori:	Brandolini, Luca; Chen, William W. L.; Colzani, Leonardo; Gigante, Giacomo; Travaglini, Giancarlo
Data di pubblicazione:	2013
Abstract (eng):	We study the error for quasi Monte Carlo quadrature rules on metric measure spaces adapted to a decomposition of the space into disjoint subsets. We consider both the error for a single given function, and the worst case error for all functions in a given class of potentials. The main tools are the classical Kintchine-Marcinkiewicz-Zygmund inequality and more recent suitable de finitions of Sobolev classes on metric measure spaces.
Nelle collezioni:	Working papers ENG. Mathematics and Statistics Series

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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10446/29317

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