Title of article
A stronger inequality of Cˆırtoaje’s one with power exponential functions
Author/Authors
Miyagi ، Mitsuhiro Ube National College of Technology , Nishizawa ، Yusuke Ube National College of Technology
Pages
7
From page
224
To page
230
Abstract
In this paper, we will show that (a^{2b} + b^{2a} + r (ab(a b))^2 leq 1 ) holds for all (0 leq a) and (0 leq b) with (a + b = 1) and all (0 leq r leqfrac{1}/{2}). This gives the first example of a stronger inequality of (a^{2b} +b^{2a} leq 1).
Keywords
Powerexponential function , monotonically decreasing function , monotonically increasing function.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2015
Journal title
Journal of Nonlinear Science and Applications
Record number
2475518
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