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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