A note on the approximation by a sum of two algebras
Functional Analysis
2024-06-18 v2
Abstract
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 Vall\'{e}e Poussin type theorem, which estimates the approximation error from below. We also obtain a duality formula for the precise computation of .
Keywords
Cite
@article{arxiv.2405.09815,
title = {A note on the approximation by a sum of two algebras},
author = {Aida Asgarova and Vugar Ismailov},
journal= {arXiv preprint arXiv:2405.09815},
year = {2024}
}
Comments
10 pages, typos corrected, references added; this paper includes material from arXiv:2204.07448