Show for all (x, y in mathbb{R}^{n}) the inequality [|x-y|(1+|x|)^{-1}(1+|y|)^{-1} leqslantleft.|| xight|^{-2} x-|y|^{-2} y mid .] Use

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Show for all $x, y \in \mathbb{R}^{n}$ the inequality

\[|x-y|(1+|x|)^{-1}(1+|y|)^{-1} \leqslant\left.|| xight|^{-2} x-|y|^{-2} y \mid .\]

Use a direct calculation after squaring both sides.

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Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

ISBN: 9783110741254

3rd Edition

Authors: René L. Schilling, Björn Böttcher

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Question Posted: Mar 17, 2024 01:00 AM

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Show for all (x, y in mathbb{R}^{n}) the inequality [|x-y|(1+|x|)^{-1}(1+|y|)^{-1} leqslantleft.|| xight|^{-2} x-|y|^{-2} y mid .] Use

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Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

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