%0 Journal Article
%T More Jordan type inequalities
%A D. Aharonov
%A U. Elias
%J Mathematics
%D 2013
%I arXiv
%X The function $ \tan(\pi x / 2) / (\pi x / 2) $ is expanded into a Laurent series of $ 1 - x^2 $, where the coefficients are given explicitly as combinations of zeta function of even integers. This is used to achieve a sequence of upper and lower bounds which are very precise even at the poles $ x = 1, -1 $. Similar results are obtained for other trigonometric functions with poles.
%U http://arxiv.org/abs/1309.5521v1