Title of article
An optimal power mean inequality for the complete elliptic integrals
Author/Authors
Wang، نويسنده , , Miao-Kun and Chu، نويسنده , , Yu-Ming and Qiu، نويسنده , , Ye-Fang and Qiu، نويسنده , , Song-Liang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
4
From page
887
To page
890
Abstract
In this work, we prove that M p ( K ( r ) , E ( r ) ) > π / 2 for all r ∈ ( 0 , 1 ) if and only if p ≥ − 1 / 2 , where M p ( x , y ) denotes the power mean of order p of two positive numbers x and y , and K ( r ) and E ( r ) denote the complete elliptic integrals of the first and second kinds, respectively.
Keywords
Complete elliptic integrals , Inequality , power mean
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1527869
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