Title of article
Inequalities and bounds for generalized complete elliptic integrals
Author/Authors
Neuman، نويسنده , , Edward، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
11
From page
203
To page
213
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.
Keywords
Logarithmic convexity , inequalities , Concavity/convexity , Generalized complete elliptic integrals of the first and second kind , Gaussי hypergeometric function , power mean , lower and upper bounds
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561380
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