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

Authors

  • V. V. Savchuk

Abstract

We determine the exact value of the best linear polynomial approximation of a unit ball of the Hardy space Hp,1p, on concentric circles Tρ=zC:|z|=ρ,0ρ<1, in the uniform metric. We construct the best linear method of approximation and prove the uniqueness of this method.

Published

25.07.2003

Issue

Section

Research articles

How to Cite

Savchuk, V. V. “Best Linear Methods of Approximation of Functions of the Hardy Class Hp”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 7, July 2003, pp. 919-25, https://umj.imath.kiev.ua/index.php/umj/article/view/3967.