The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

A Short Proof of an Open Inequality with Power-Exponential Functions


Mitsuhiro Miyagi and Yusuke Nishizawa

General Education, Ube National College of Technology,
Tokiwadai 2-14-1, Ube,
Yamaguchi 755-8555,



V. CÓrtoaje conjectured that a3b + b3a + ( (a -b)/2 )4 ≤ 2 holds for all nonnegative numbers a and b with a +b =2. In this short note, we give a proof of the CÓrtoaje's conjecture with power-exponential functions.

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