Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric

• 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/3666
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We find asymptotic equalities for upper bounds of approximations by Fourier partial sums in a uniform metric on classes of Poisson integrals of periodic functions belonging to unit balls of spaces $L_p,\quad 1 \leq p \leq \infty$. We generalize the results obtained to classes of $(\psi, \overline{\b...