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

Abstract

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.

9 pages

Cited by in corpus (5)

• The best bounds for Toader mean in terms of the centroidal and arithmetic means
• Some inequalities for complete elliptic integrals
• Bounds for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
• Very accurate approximations for the elliptic integrals of the second kind in terms of Stolarsky means
• Sharp double inequality for complete elliptic integral of the first kind