Geodesic
Inequalities for Elliptic Integrals
Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 61

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Sharp lower and upper estimates are obtained for five expressions involving complete elliptic integrals. The proofs for four of these are elementary, while the last involves contour integration and some inequalities for elliptic functions.
Classification : 33A25 
G.D. Anderson; M.K. Vamanamurthy. Inequalities for Elliptic Integrals. Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 61 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a11/
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