English

Some best approximation formulas and inequalities for Wallis ratio

Classical Analysis and ODEs 2015-01-23 v1 Combinatorics Number Theory

Abstract

In the paper, the authors establish some best approximation formulas and inequalities for Wallis ratio. These formulas and inequalities improve an approximation formula and a double inequality for Wallis ratio recently presented in ``S. Guo, J.-G. Xu, and F. Qi, \textit{Some exact constants for the approximation of the quantity in the Wallis' formula}, J. Inequal. Appl. 2013, \textbf{2013}:67, 7 pages; Available online at \url{http://dx.doi.org/10.1186/1029-242X-2013-67}''.

Keywords

Cite

@article{arxiv.1312.3782,
  title  = {Some best approximation formulas and inequalities for Wallis ratio},
  author = {Feng Qi and Cristinel Mortici},
  journal= {arXiv preprint arXiv:1312.3782},
  year   = {2015}
}

Comments

6 pages

R2 v1 2026-06-22T02:26:58.571Z