A note on the approximation by a sum of two algebras

Autor: Asgarova, Aida, Ismailov, Vugar
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We consider the problem of approximation of a continuous function $f$ defined on a compact metric space $X$ by elements from a sum of two algebras. We prove a de la Vall\'{e}e Poussin type theorem, which estimates the approximation error $E(f)$ from below. We also obtain a duality formula for the precise computation of $E(f)$.
Comment: 10 pages, typos corrected, references added; this paper includes material from arXiv:2204.07448
Databáze: arXiv