An elementary proof of some inequality derived from the function (b^x – a^x)/x
宇部工業高等専門学校研究報告 Volume 61
Page 41-44
published_at 2015-03
Title
An elementary proof of some inequality derived from the function (b^x – a^x)/x
Source Identifiers
Creator Keywords
inequality
monotonically decreasing function
monotonically increasing function
In this article,we prove that the inequality (x+r)(a+b/2)^r/x>(b^x+r-a^x+r)/(b^x-a^x)holds for 0<r<1,0<x＜1 and 0<a<b using by elementary method.
Languages
eng
Resource Type
departmental bulletin paper
Publishers
宇部工業高等専門学校
Date Issued
2015-03
File Version
Version of Record
Access Rights
open access
Relations
[ISSN]0386-4359
[NCID]AN00019833