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

  • V. V. Savchuk

Abstract

We construct the best linear methods of the approximation of functions from the Hardy space Hp on compact subsets of the unit disk. We show that the Takenaka - Malmquist systems are such systems of functions that are orthonormal on the unit circle and optimal for the construction of the best linear methods of approximation.

Published
25.05.2008
How to Cite
SavchukV. V. “Best Linear Methods of Approximation and Optimal Orthonormal Systems of the Hardy Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 5, May 2008, pp. 636–646, https://umj.imath.kiev.ua/index.php/umj/article/view/3182.
Section
Research articles