Approximation of Sobolev Classes by Their Sections of Finite Dimension

• Datum: 2002
• Hauptverfasser: Konovalov, V. N., Коновалов, В. Н.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4103
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For Sobolev classes of periodic functions of one variable with restrictions on higher derivatives in L 2, we determine the exact orders of relative widths characterizing the best approximation of a fixed set by its sections of given dimension in the spaces L q.