Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric

• Datum: 2014
• Hauptverfasser: Serdyuk, A. S., Stepanyuk, T. A., Сердюк, А. С., Степанюк, Т. А.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2253
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain the exact-order estimates for the best uniform approximations and uniform approximations by Fourier sums in the classes of convolutions of periodic functions from the unit balls of the spaces $L_p, 1 ≤ p < ∞$, with generating kernel $Ψ_{β}$ for which the absolute values of its Fouri...