Guo, Bai-Ni; Qi, Feng Some bounds for the complete elliptic integrals of the first and second kinds. (English) Zbl 1217.26042 Math. Inequal. Appl. 14, No. 2, 323-334 (2011). Summary: 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. Cited in 23 Documents MSC: 26D15 Inequalities for sums, series and integrals 33C75 Elliptic integrals as hypergeometric functions 33E05 Elliptic functions and integrals Keywords:bounds; inequality; complete elliptic integral; Wallis formula; integral inequality PDF BibTeX XML Cite \textit{B.-N. Guo} and \textit{F. Qi}, Math. Inequal. Appl. 14, No. 2, 323--334 (2011; Zbl 1217.26042) Full Text: DOI arXiv