Some bounds for the complete elliptic integrals of the first and second kinds

Details Some bounds for the complete elliptic integrals of the first and second kinds Some bounds for the complete elliptic integrals of the first and second kinds

2009-05-18

arxiv.org/abs/0905.2787v1

Bai-Ni Guo and Feng Qi, Some bounds for the complete elliptic integrals of the first and second kinds, Mathematical Inequaliti

Mathematics

Classical Analysis and ODEs

9 pages

Scientific paper

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.

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