Miyagi Mitsuhiro

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

published_at 2015-03

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