O hmotě trojosého ellipsoidu
Obecná teorie derivování funkcí a měr na katedře matematické analýzy MFF UK
On a certain condition of the monotonicity of functions
On a Functional Equation in Connection with Derivations.
On a functional equation related to a generalization of Flett's mean value theorem.
On a functional inequality of Kemperman
On Algebraic Curves over Real Closed Fields. II.
On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions
On approximate symmetric derivative
On cluster sets of arbitrary functions
On continuous functions and the approximate symmetric derivatives
On derivations on certain function spaces and their relation to the differential operator. (Über Derivationen auf gewissen Funktionenräumen und deren Beziehung zum Differentiationsoperator.)
On derivatives of functions defined on disconnected sets, I
On derivatives of functions defined on disconnected sets, II
On Dini Derivatives and on a Property of Denjoy.
On Dini derivatives and on certain classes of Zahorski
On extending functions from an open set to with applications
For and open in , let be the ring of real valued functions on with the first derivatives continuous. It is shown that for there is with and with . The function and its derivatives are not assumed to be bounded on . The function is constructed using splines based on the Mollifier function. Some consequences about the ring are deduced from this, in particular that .
On extreme first return path derivatives
On functions of bounded n-th variation
On generalized Peano and Peano derivatives
A function F is said to have a generalized Peano derivative at x if F is continuous in a neighborhood of x and if there exists a positive integer q such that a qth primitive of F in the neighborhood has the (q+n)th Peano derivative at x; in this case the latter is called the generalized nth Peano derivative of F at x and denoted by . We show that generalized Peano derivatives belong to the class [Δ’]. Also we show that they are path derivatives with a nonporous system of paths satisfying the I.I.C....