Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions

• Дата: 2013
• Автори: Serdyuk, A. S., Stepanyuk, T. A., Сердюк, А. С., Степанюк, Т. А.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2013
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/180
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We obtained order estimations for the best uniform approximation by trigonometric polynomials and approximation by Fourier sums of classes of $2\pi$-periodic continuous functions, whose $(\psi,\beta)$--derivatives $f_{\beta}^{\psi}$ belong to unit balls of spaces $L_{p}, \ 1\leq p&a...