Harmonic progression power inequality

If $a, b, c$ are in H. P. and $n > 1$ , shew that $a^{n} + c^{n} > 2 b^{n}$ .

~12 minProof · checked by AIInequalitiesHarmonic progression

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.b, No. 9

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