Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums

• Дата: 2009
• Автори: Ovsii, E. Yu., Serdyuk, A. S., Овсий, E. Ю., Сердюк, А. С.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2009
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3037
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set $H_{ω}$ in the case where the sequences ψ that generate the classes tend to zero not faster...