Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899284 | Journal of Mathematical Analysis and Applications | 2018 | 16 Pages |
Abstract
Let E(r) be the complete elliptic integrals of the second kind and Jp(a,b) be the one-parameter mean of two distinct positive numbers a and b defined byJp(a,b)=pp+1ap+1âbp+1apâbp for pâ â1,0. In this study using the recurrence method with the sign rule of a special power series, we prove that the double inequality7Ï22J2/(Ïâ2)(1,râ²)<2ÏE(r)
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhen-Hang Yang,