2017
Том 69
№ 9

All Issues

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

Savchuk V. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 5, pp 730-743.

Citation Example: Savchuk V. V. Best linear methods of approximation and optimal orthonormal systems of the Hardy space // Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 636–646.

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