Sets thrown at random in space contain, on average, a number of integer points equal to the measure of these sets. We determine the mean square error in the estimate of this number when the sets are homothetic to a domain with fractal boundary. This is related to the problem of approximating Lebesgue integrals by random Riemann sums
Colzani, L. (1997). Approximation of Lebesgue integrals by Riemann sums and lattice points in domains with fractal boundary. MONATSHEFTE FÜR MATHEMATIK, 123(4), 299-308 [10.1007/BF01326765].
Approximation of Lebesgue integrals by Riemann sums and lattice points in domains with fractal boundary
COLZANI, LEONARDO
1997
Abstract
Sets thrown at random in space contain, on average, a number of integer points equal to the measure of these sets. We determine the mean square error in the estimate of this number when the sets are homothetic to a domain with fractal boundary. This is related to the problem of approximating Lebesgue integrals by random Riemann sums
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
