Ukrainian Mathematical Journal

, Volume 60, Issue 5, pp 730–743 | Cite as

Best linear methods of approximation and optimal orthonormal systems of the Hardy space

  • V. V. Savchuk

We construct the best linear methods of approximation for functions of the Hardy space H p on compact subsets of the unit disk. It is shown that the Takenaka-Malmquist systems are optimal systems of functions orthonormal on the unit circle for the construction of the best linear methods of approximation.


Compact Subset Hardy Space Optimal System Linear Method Blaschke Product 
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • V. V. Savchuk
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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