Zhang Zhen, Shan Huaqing, Chen Ligeng
1School of Cyberspace, Hangzhou Dianzi University, Hangzhou, China.
2Key Laboratory of Complex Systems Modeling and Simulation, Hangzhou Dianzi University, Hangzhou, China.
J Inequal Appl. 2018;2018(1):149. doi: 10.1186/s13660-018-1742-7. Epub 2018 Jun 27.
A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker-Stark inequality, and Wu-Srivastava inequality. Simple proofs are provided. It shows to achieve better approximation results than those of prevailing methods.
提出了一种两点帕德逼近法，用于改进一些著名的三角不等式，包括乔丹不等式、科伯不等式、贝克尔 - 斯塔克不等式和吴 - 斯里瓦斯塔瓦不等式。给出了简单的证明。结果表明，该方法比现有方法能取得更好的逼近效果。
