120 citations · 295 across the 23 of their papers we have counts for
8 papers · 1 filter
Two fixed functions can approximate any continuous function using only addition and composition
Vugar Ismailov
We prove that two fixed univariate functions, namely, an arbitrary continuous non-affine function and a particular affine function, are sufficient to approximate continuous functio…
A note on the approximation by a sum of two algebras
Aida Asgarova, Vugar Ismailov
We consider the problem of approximation of a continuous function defined on a compact metric space by elements from a sum of two algebras. We prove a de la Vallée Poussin…
A Chebyshev type alternation theorem for best approximation by a sum of two algebras
Aida Asgarova, Ali Huseynli, Vugar Ismailov
Let be a compact metric space, be the space of continuous real-valued functions on , and , be two closed subalgebras of containing constant function…
A note on the equioscillation theorem for best ridge function approximation
Vugar Ismailov
We consider the approximation of a continuous function, defined on a compact set of the -dimensional Euclidean space, by sums of two ridge functions. We obtain a necessary and s…
On the Diliberto-Straus algorithm for the uniform approximation by a sum of two algebras
Aida Kh. Asgarova, Vugar E. Ismailov
In 1951, Diliberto and Straus proposed a levelling algorithm for the uniform approximation of a bivariate function, defined on a rectangle with sides parallel to the coordinate axe…
A note on the representation of continuous functions by linear superpositions
Vugar Ismailov
We consider the problem of the representation of real continuous functions by linear superpositions with continuous and . This probl…
On the representation by linear superpositions
Vugar Ismailov
In a number of papers, Y. Sternfeld investigated the problems of representation of continuous and bounded functions by linear superpositions. In particular, he proved that if such…
On the theorem of M.Golomb
Vugar Ismailov
Let be compact spaces and Consider the approximation of a function by sums where $g…