منابع مشابه
Approximate differentiation: Jarńık points
We investigate Jarńık’s points for a real function f defined in R, i.e. points x for which lim apy→x |(f(y)− f(x))/(y − x)| = +∞. In 1970, Berman has proved that the set Jf of all Jarńık’s points for a path f of the one-dimensional Brownian motion is the whole R almost surely. We give a simple explicit construction of a continuous function f with Jf = R. The main result of our paper says that f...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1991
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-140-1-87-97