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
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
Journal title :
Journal of Computational and Applied Mathematics
