Title of article
PROOFS OF THREE OPEN INEQUALITIES WITH POWER-EXPONENTIAL FUNCTIONS
Author/Authors
CIRTOAJE ، VASILE - University of Ploiesti
Pages
8
From page
130
To page
137
Abstract
The main aim of this paper is to give a complete proof to the open inequality with power-exponential functions a^ea+b^eb≥a^eb+b^ea,which holds for all positive real numbers a and b. Notice that this inequality was proved in for only a≥b≥1e and1e≥a≥b.In addition, other two open inequalities with power-exponential functions are proved, and three new conjectures are presented
Keywords
Open inequality , Powe , rexponential function , AM , GM inequality
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2011
Journal title
Journal of Nonlinear Science and Applications
Record number
2474705
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