On relative widths of classes of differentiable functions. II

• Datum: 2010
• Hauptverfasser: Subbotin, Yu. N., Telyakovskii, S. A., Субботин, Ю. H., Теляковский, С. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2877
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain an upper bound for the least value of the factor $М$ for which the Kolmogorov widths $d_n (W_C^r, C)$ are equal to the relative widths $K_n (W^C_r, MW^C_j, C)$ of the class of functions $W_C^r$ with respect to the class $MW^C_j$, provided that $j > r$. This estimate is also true in...