Author:
Aliev R. A.,Asgarova A. A.,Ismailov V. E.
Abstract
UDC 517.5
We consider the problem of representation of a bivariate function by sums of ridge functions. It is shown that if a function of a certain smoothness class is represented by a sum of finitely many arbitrarily behaved ridge functions, then it can also be represented by a sum of ridge functions of the same smoothness class. As an example, this result is applied to a homogeneous constant coefficient partial differential equation.
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine