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

• Дата: 2008
• Автори: Savchuk, V. V., Савчук, В. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2008
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3182
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 linea...