Norms of Multipliers and Best Approximations of Holomorphic Functions of Many Variables

• Дата: 2002
• Автори: Savchuk, V. V., Savchuk, M. V., Савчук, В. В., Савчук, М. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4205
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We show that the Lebesgue–Landau constants of linear methods for summation of Taylor series of functions holomorphic in a polydisk and in the unit ball from \(\mathbb{C}^m\) over triangular domains do not depend on the number m. On the basis of this fact, we find a relation between the complete...