A note on the approximation by a sum of two algebras

2024/05/16 by Asgarova, Aida, Ismailov, Vugar
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2405.09815

Abstract

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 Vallée 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).

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