Kyumin Nam
Abstract
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In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality and it was proved by K. Kedlaya in 1994. In this note, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, harmonic-mean inequality.
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In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality and it was proved by K. Kedlaya in 1994. In this note, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, harmonic-mean inequality.
Key concepts: Harmonic mean, Geometric mean, Mathematics, Inequality of arithmetic and geometric means, Weighted geometric mean, Generalized mean, Inequality, Weighted arithmetic mean