Some bounds for the complete elliptic integrals of the first and second kinds
Classical Analysis and ODEs
2012-08-21 v1
Abstract
In the article, the complete elliptic integrals of the first and second kinds are bounded by using the power series expansions of some functions, the celebrated Wallis' inequality, and an integral inequality due to R. P. Agarwal, P. Cerone, S. S. Dragomir and F. Qi.
Cite
@article{arxiv.0905.2787,
title = {Some bounds for the complete elliptic integrals of the first and second kinds},
author = {Bai-Ni Guo and Feng Qi},
journal= {arXiv preprint arXiv:0905.2787},
year = {2012}
}
Comments
9 pages