Monotonicity theorems and inequalities for the complete elliptic integrals\
[摘要] 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.
[发布日期] 2004-12-01 [发布机构]
[效力级别] [学科分类]
[关键词] complete elliptic integrals;monotonicity;inequalities;mean values;Arc length of an ellipse [时效性]
