Uniformly antisymmetric functions


Krzysztof Ciesielski & Lee Larson

Real Anal. Exchange 19 (1993-94), 226-235

An example is given of a function f:R-->R which satisfies the property that for each x there is an e(x) > 0 such that |f(x+h)-f(x-h)| > =1 whenever 0< h< e(x). Further properties of such functions are also discussed.

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Last modified April 24, 1999.