3 papers
math.CA2020
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…
math.CA2020
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…
math.CA2016
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…