Asgarova, Aysel2024-02-202024-02-2020211027-3190http://hdl.handle.net/20.500.14346/2066We 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.enBivariate functionTheoremPolynomial termMəqalə