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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
ARITH
2007
IEEE
14 years 5 months ago
Worst Cases of a Periodic Function for Large Arguments
One considers the problem of finding hard to round cases of a periodic function for large floating-point inputs, more precisely when the function cannot be efficiently approxim...
Guillaume Hanrot, Vincent Lefèvre, Damien S...