Sharp Cusa and Becker-Stark inequalities

By Chao Chen, Wing-Sum Cheung. 2011

49 citations recorded by the source corpus.

AbstractWe determine the best possible constants θ,ϑ,α and β such that the inequalities 2+cosx3θ<sinxx<2+cosx3ϑ and π2π2-4x2α<tanxx<π2π2-4x2β are valid for 0 < × < π/ 2. Our results sharpen inequalities presented by Cusa, Becker and Stark.Mathematics Subject Classification (2000): 26D05.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a5847389bd715817a9bc13f7232fe39e55135e0e

Citations in the corpus

• Two sharp inequalities for trigonometric and hyperbolic functions (2012, unknown): “We remark that, in fact, Chen and Chueng [6] have proved Theorem 2.”