Question: 25. Let p 1. By Jensens inequality or otherwise, find the smallest value of the constant cp such that (a + b)p cp(ap

25. Let p ≥ 1. By Jensen’s inequality or otherwise, find the smallest value of the constant cp such that (a + b)p ≤ cp(ap + bp) for all

a, b ≥ 0. (Cambridge 2006)

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