中文

惠更斯近似精度的若干估计

综合数学 2020-03-02 v3

摘要

本文通过确定惠更斯函数 f(x)=23sinx+13tanx,f(x) = \frac{2}{3} \sin x + \frac{1}{3} \tan x,x(0,π2)x \in \left(0, \frac{\pi}{2} \right) 上以若干多项式与若干有理函数形式的边界,给出了惠更斯近似 x23sinx+13tanx,x \approx \frac{2}{3} \sin x + \frac{1}{3} \tan x, 在零的右邻域内的一些精度估计。

关键词

引用

@article{arxiv.1907.09301,
  title  = {Some estimates of precision of the Huygens approximation},
  author = {Branko Malesevic and Marija Nenezic and Ling Zhu and Bojan Banjac},
  journal= {arXiv preprint arXiv:1907.09301},
  year   = {2020}
}

备注

This article is included in one new extended article B. Malesevic, M. Nenezic, L. Zhu, B. Banjac, M. Petrovic: Some new estimates of precision of Cusa-Huygens and Huygens approximations (arXiv:1907.00712)