We prove that the 1-dimensional Hausdorff measure restricted to the graph of a function f is locally monotone near the origin provided f''>>0 on some neighbourhood of zero.
We prove that the 1-dimensional Hausdorff measure restricted to the graph of a function f is locally monotone near the origin provided f''>>0 on some neighbourhood of zero. (en)
Dokazujeme, že 1-dimenzionální Hausdorffova míra nesená grafem funkce f je lokalně monotonní na okolí počátku za předpokladu, že f''>>0 na okolí nuly. (cs)