Approximations of entire functions by polynomials of the best standard approximation

• Date: 2017
• Author Affiliations: В. А. Войтович — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Vojtovich, V. A., Войтович, В. А.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/105
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We find asymptotic equality for the top limits of approaching by the polynomials of best mean approximation on classes of $2\pi$--periodic functions $C^\psi_{\overline\beta,s}$, $1\leq s \leq\infty$, and $C^\psi_{\overline\beta}H_\omega$, that are set by multipliers $\psi(k)$ and by shifts forward a...