Could anyone prove or disprove the following inequality:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]||x||_{p}\leq||x||_{p'}[/itex] for all [itex]x\in\mathbb{R}^{n}[/itex] if [itex]p'>p\geq1[/itex]?

By the way, this is not a homework problem.

Any help on this will be highly appreciated.

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# Ineqaulity on \ell_p

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