Ukrainian Mathematical Journal

, Volume 55, Issue 7, pp 1110–1118 | Cite as

Best Linear Methods of Approximation of Functions of the Hardy Class Hp

  • V. V. Savchuk


We determine the exact value of the best linear polynomial approximation of a unit ball of the Hardy space Hp, 1 ≤ p ≤ ∞, on concentric circles \(\mathbb{T}\rho={z \in \mathbb{C}:|z|=\rho}\), 0 ≤ ρ < 1, in the uniform metric. We construct the best linear method of approximation and prove the uniqueness of this method.


Unit Ball Hardy Space Good Linear Linear Method Polynomial Approximation 
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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • V. V. Savchuk

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