Approximation Characteristics of Spaces $S_\phi ^p$

• Datum: 2001
• Hauptverfasser: Stepanets, O. I., Степанец, А. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4261
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We introduce linear vector spaces $S_\phi ^p$ and study their approximation properties. By using the general results obtained, we establish statements concerning the approximation of classes of periodic functions of many variables by trigonometric polynomials.