Article ID Journal Published Year Pages File Type
4618866 Journal of Mathematical Analysis and Applications 2011 11 Pages PDF
Abstract

Computable bounds for the generalized complete elliptic integrals of the first and second kind are obtained. Also, bounds for some combinations and products for integrals under discussion are established. It has been proven that both families of integrals are logarithmically convex as functions of the first parameter. This property has been employed to obtain several inequalities involving integrals in question.

Related Topics
Physical Sciences and Engineering Mathematics Analysis