Some properties of high order Cesaro derivatives / A. V. Dergachev. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. ? 3. P. 3-10 [Moscow Univ. Math. Bulletin. Vol. 68, N 3, 2013.].
It is shown that a function with Cesaro C2-derivative greater than -∞ everywhere on a segment is not necessarily VBG. We also construct a function having a finite approximate derivative almost everywhere on a segment, but its C2-derivative is equal to +∞ almost everywhere.
Key words: Cesaro derivatives, Cesaro-Perron integral, approximate derivatives, VBG functions, Denjoy relations.