Some bounds for the complete elliptic integrals of the first and second kinds. (English) Zbl 1217.26042
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:
26D15 | Inequalities for sums, series and integrals |
33C75 | Elliptic integrals as hypergeometric functions |
33E05 | Elliptic functions and integrals |