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MOC
2002
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13 years 11 months ago
Component-by-component construction of good lattice rules
This paper provides a novel approach to the construction of good lattice rules for the integration of Korobov classes of periodic functions over the unit s-dimensional cube. Theore...
Ian H. Sloan, Andrew V. Reztsov
JCT
2008
35views more  JCT 2008»
13 years 11 months ago
Maximal periods of (Ehrhart) quasi-polynomials
A quasi-polynomial is a function defined of the form q(k) = cd(k) kd + cd-1(k) kd-1 +
Matthias Beck, Steven V. Sam, Kevin M. Woods
JAT
2008
57views more  JAT 2008»
13 years 11 months ago
Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials
We obtain optimal trigonometric polynomials of a given degree N that majorize, minorize and approximate in L1(R/Z) the Bernoulli periodic functions. These are the periodic analogue...
Emanuel Carneiro
ADCM
2006
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13 years 11 months ago
Inequalities on time-concentrated or frequency-concentrated functions
We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients van...
Say Song Goh, Tim N. T. Goodman