Generalizations of a parameterized Jordan-type inequality, Janous's inequality and Tsintsifas's inequality

摘要

In this work, we first prove a generalized version of a parameterized Jordan-type inequality. We then use it to prove the generalized versions of Janous's inequality and Tsintsifas's inequality which reduce to two inequalities conjectured by Janous and Tsintsifas as special cases. (C) 2008 Elsevier Ltd. All rights reserved.