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Miyagi Mitsuhiro


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
UN20061000007.pdf
[fulltext] 552 KB
Title
An elementary proof of some inequality derived from the function (b^x – a^x)/x
Creators Yusuke Nishizawa
Creators Mitsuhiro Miyagi
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