Is there any difference between $|x^{p}|$ and $|x|^{p}$ when $x$ belongs to $\mathbb{R}$, i.e., set of real numbers in terms of continuity and differentiablity. In measure theory I have to show they are covex, i. e., second derivative greater than or equal to zero.
2026-04-23 21:22:54.1776979374
difference between $|x^{p}|$ and $|x|^{p}$ when $x$ belongs to $\mathbb{R}$
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