Sharp bounds for the difference between the arithmetic and geometric means
classification
🧮 math.CA
keywords
alphaboundssharparithmeticdifferencegeometricmeansprod
read the original abstract
We present sharp bounds for $\sum_{i=1}^n \alpha_i x_i - \prod_{i=1}^n x_i^{\alpha_i}$ in terms of the variance of the vector $(x_1^{1/2},...,x_n^{1/2})$.
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