On lower bounds for the widths of classes of functions defined by integral moduli of continuity

• Datum: 2000
• Hauptverfasser: Derets, E. V., Дерец, Е. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4421
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish lower bounds for the Kolmogorov widths d 2n-1(W r H 1 ω .L p ) and Gel’fand widths d 2n-1(W r H 1 ω .L p ) of the classes of functions W r H 1 ω with a convex integral modulus of continuity ω(t).