Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$

• Дата: 2017
• Автори: Serdyuk, A. S., Stepanyuk, T. A., Сердюк, А. С., Степанюк, Т. А.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2017
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1728
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In metrics of the spaces $L_s,\; 1 \leq s \leq \infty$, we establish asymptotic equalities for the upper bounds of approximations by Fourier sums in the classes of generalized Poisson integrals of periodic functions that belong to the unit ball of space $L_1$.