Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II

• Datum: 2015
• Hauptverfasser: Bodenchuk, V. V., Serdyuk, A. S., Боденчук, В. В., Сердюк, А. С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2041
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

It is shown that the lower bounds of the Kolmogorov widths $d_{2n}$ in the space $C$ established in the first part of our work for the function classes that can be represented in the form of convolutions of the kernels $${H}_{h,\beta }(t)={\displaystyle \sum_{k=1}^{\infty}\frac{1}{ \cosh kh} \cos \...