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On an Open Problem for an Algebraic Inequality
Algebraic inequality monotonicity differentiable complex function
2008/11/25
In this paper, the open problem published in (Feng Qi, An algebraic inequality, J.
Inequal. Pure Appl. Math., 2 (1), Art. 13, 2001) is solved by using analytic arguments.
At the same time, the preci...
The Arithmetic-Algebraic Mean Inequality via Symmetric Means
Arithmetic mean Geometric mean Symmetric mean Inequality
2010/1/22
We give two proofs of the arithmetic-algebraic mean inequality by giving a characterization of symmetric means.
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Darboux integrability Characteristic Lie Algebra First Integrals Integrability test
2010/2/25
Nonlinear semi-discrete equations of the form tx(n+1) = f(t(n), t(n+1), tx(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this not...