Trigonometric and orthoprojection widths of classes of periodic functions of many variables

• Datum: 2009
• Hauptverfasser: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., Романюк, В. С.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3106
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain exact order estimates for trigonometric and orthoprojection widths of the Besov classes $B^r_{p,θ}$ and Nikol’skii classes $Hr p$ of periodic functions of many variables in the space $L_q$ for certain relations between the parameters $p$ and $q$.