Alzer, Horst Sharp inequalities for the complete elliptic integral of the first kind. (English) Zbl 0906.33012 Math. Proc. Camb. Philos. Soc. 124, No. 2, 309-314 (1998). The author offers an improvement on one of two inequalities for the complete elliptic integral of the first kind by S. L. Qiu and M. K. Vamamurthy [SIAM J. Math. Anal. 27, 823-834 (1996; Zbl 0860.33014)] and the statement that the constants in the improved inequality and in the remaining one are the best possible. Reviewer: Johann Aczél (Waterloo/Ontario) Cited in 1 ReviewCited in 35 Documents MSC: 33E05 Elliptic functions and integrals Keywords:complete elliptic integrals; sharp inequalities Citations:Zbl 0860.33014 PDFBibTeX XMLCite \textit{H. Alzer}, Math. Proc. Camb. Philos. Soc. 124, No. 2, 309--314 (1998; Zbl 0906.33012) Full Text: DOI