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

• Datum: 2013
• Hauptverfasser: Serdyuk, A. S., Stepanyuk, T. A., Сердюк, А. С., Степанюк, Т. А.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2013
• Online Zugang: 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...