On the Absolute Summability of Fourier Series of Almost Periodic Functions

• Datum: 2013
• Hauptverfasser: Khasanov, Yu., Хасанов, Ю. Х.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2549
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish new sufficient conditions for the absolute |C, α|-summability of the Fourier series of functions almost periodic in a sense of Besicovitch whose spectrum has limit points at infinity and at the origin for \( \alpha \ge \frac{1}{2} \) .