期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 172, 期 2, 页码 289-312出版社
ELSEVIER
DOI: 10.1016/j.cam.2004.02.009
关键词
complete elliptic integrals; monotonicity; inequalities; mean values; Arc length of an ellipse
We prove monotonicity properties of certain combinations of complete elliptic integrals of the first and second kind, K and E. These results lead to sharp symmetrical bounds for K and E, which improve recently discovered inequalities. (C) 2004 Elsevier B.V. All rights reserved.
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