Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$

  • V. V. Savchuk

Abstract

We determine the exact value of the best linear polynomial approximation of a unit ball of the Hardy space $H_p, 1 ≤ p ≤ ∞$, on concentric circles $Tρ = z ∈ C:|z|=ρ, 0 ≤ ρ < 1$, in the uniform metric. We construct the best linear method of approximation and prove the uniqueness of this method.
Published
25.07.2003
How to Cite
SavchukV. V. “Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 7, July 2003, pp. 919-25, https://umj.imath.kiev.ua/index.php/umj/article/view/3967.
Section
Research articles