Title of article
Monotonicity theorems and inequalities for the complete elliptic integrals
Author/Authors
Alzer، نويسنده , , Horst and Qiu، نويسنده , , Song-Liang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
24
From page
289
To page
312
Abstract
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.
Keywords
inequalities , Mean values , Complete elliptic integrals , Monotonicity , Arc length of an ellipse
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2004
Journal title
Journal of Computational and Applied Mathematics
Record number
1552731
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