宇部工業高等専門学校研究報告

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宇部工業高等専門学校研究報告 Volume 61
published_at 2015-03

An elementary proof of some inequality derived from the function (b^x – a^x)/x

An elementary proof of some inequality derived from the function (b^x – a^x)/x
Yusuke Nishizawa
Mitsuhiro Miyagi
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UN20061000007.pdf
About This Article
Descriptions
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.
Creator Keywords
inequality
monotonically decreasing function
monotonically increasing function
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