Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.

• Datum: 2013
• Hauptverfasser: Serdyuk, A. S., Sokolenko, I. V., Сердюк, А. С., Соколенко, І. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2013
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/183
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L^\psi_{\bar\beta,1}$ defined by sequences of multipliers $\psi=\psi(k)$ and shifts of argument $\bar\beta=\beta_k$