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Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
Some bounds for the complete elliptic integrals of the first and second kinds. (English)
[J] Math. Inequal. Appl. 14, No. 2, 323-334 (2011). ISSN 1331-4343

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.
MSC 2000:
*26D15 Inequalities for sums, series and integrals of real functions
33C75 Elliptic integrals as hypergeometric functions
33E05 Elliptic functions and integrals

Keywords: bounds; inequality; complete elliptic integral; Wallis formula; integral inequality

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