Category Archives: Analysis

Benford’s law and Banach limits

In this nice short paper (gated), R. Raimi makes a connection between Benford’s law and Banach limits.

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An inequality useful for the p-Laplacian

Fix . Let , then Proof: Unfold and rewrite what we want to show as: By Cauchy-Schwarz the left hand-side is less than which can be written as But, since ,

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An interesting inequality due, perhaps, to Kashin

In order to test the latex2wp software, I’ve dug out an old file and will post it here. There might be something interesting here. But maybe not. 1. Kashin’s Inequality Kashin’s Inequality: Let be a Lipschitz function, i.e., there is … Continue reading

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