Widths and best approximations for classes of convolutions of periodic functions

• Datum: 1999
• Hauptverfasser: Serdyuk, A. S., Сердюк, А. С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4653
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish exact lower bounds for the Kolmogorov widths in the metrics ofC andL for classes of functions with high smoothness; the elements of these classes are sourcewise-representable as convolutions with generating kernels that can increase oscillations. We calculate the exact values of the bes...