Some Homogeneous Cyclic Inequalities of Three Variables of Degree Three and Four
نویسنده
چکیده
We shall show that the three variable cubic inequality t(a + b + c) + (t − 2t)(ab + bc + ca) ≥ (2t − 1)(ab + bc + ca) + (3t − 6t + 3t − 6t + 3)abc holds for non-negative a, b, c, and for any real number t. We also show some similar three variable cyclic quartic inequalities.
منابع مشابه
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