Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$

• Дата: 2003
• Автори: Savchuk, V. V., Савчук, В. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3967
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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