On a certain property of the derivative
On essential cluster sets
On the approximate Peano derivatives
Some properties of real functions of two variables and some consequences
Intersection of sectorial cluster sets and directional essential cluster sets
On functions of bounded n-th variation
An extension of a theorem of Marcinkiewicz and Zygmund on differentiability
Let f be a measurable function such that at each point x of a set E, where k is a positive integer, λ > 0 and is the symmetric difference of f at x of order k. Marcinkiewicz and Zygmund [5] proved that if λ = k and if E is measurable then the Peano derivative exists a.e. on E. Here we prove that if λ > k-1 then the Peano derivative exists a.e. on E and that the result is false if λ = k-1; it is further proved that if λ is any positive integer and if the approximate Peano derivative...
Relations between some general nth-order derivatives
On Dini derivatives and on certain classes of Zahorski
On Schwarz differentiability, III
Symmetric derivative of nowhere monotone functions, I
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