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MOC
2002
80views more  MOC 2002»
13 years 4 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 4 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 4 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
61views more  ADCM 2006»
13 years 4 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