4 papers · 1 filter
On the Kurepa and inhomogeneous Cauchy functional equations
Rashid Aliev, Vugar Ismailov
It follows from de Bruijn's results that if a continuous or -th order continuously differentiable function is a solution of the Kurepa functional equation, then it can…
The double difference property for the class of locally Hölder continuous functions
Rashid Aliev, Aysel Asgarova, Vugar Ismailov
In this paper, we show that the pair of classes of locally Hölder continuous functions (considered on and , respectively) has the double difference pro…
A representation problem for smooth sums of ridge functions
Rashid Aliev, Vugar Ismailov
In this paper we prove that if a multivariate function of a certain smoothness class is represented by a sum of arbitrarily behaved ridge functions, then it can be represented…
On the representation by bivariate ridge functions
Rashid Aliev, Vugar Ismailov
We consider the problem of representation of a bivariate function by sums of ridge functions. We show that if a function of a certain smoothness class is represented by a sum of fi…