Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$

• Дата: 2005
• Автори: Serdyuk, A. S., Сердюк, А. С.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3693
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Asymptotic equalities are established for upper bounds of approximants by Fourier partial sums in a metric of spaces $L_p,\quad 1 \leq p \leq \infty$ on classes of the Poisson integrals of periodic functions belonging to the unit ball of the space $L_1$. The results obtained are generalized to the c...