New approximations of some expressions involving trigonometric functions

作者:Nenezic Marija; Malesevic Branko; Mortici Cristinel*
来源:Applied Mathematics and Computation, 2016, 283: 299-315.
DOI:10.1016/j.amc.2016.02.035

摘要

The aim of this paper is to apply a computation method due to Malesevic and Makragic (Malesevic and Makragic, 2016) for approximating some trigonometric functions. Inequalities of Wilker-Cusa-Huygens are discussed, but the method can be successfully applied to a wide class of problems. In particular, we improve the estimates recently obtained by Mortici (Mortici, 2014) and moreover we show that they hold true also on some extended intervals.

  • 出版日期2016-6-20