Saturation of the linear methods of summation of Fourier series in the spaces S pφ

• Datum: 2008
• Hauptverfasser: Shydlich, A. L., Шидліч, А. Л.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3198
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the problem of the saturation, in the spaces S pφ , of linear summation methods for Fourier series, which are determined by the sequences of functions defined on a subset of the space C. We obtain sufficient conditions for the saturation of such methods in these spaces.