Paper Title:

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

Author(s):

Mitsuhiro Miyagi and Yusuke Nishizawa

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

E-mail: miyagi@ube-k.ac.jp   
yusuke@ube-k.ac.jp  

Abstract:

V. Cîrtoaje conjectured that a^3b + b^3a + ( (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 Cîrtoaje's conjecture with power-exponential functions.

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