Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions

  • A. S. Serdyuk

Abstract

Lower estimates of the Kolmogorov widths are obtained for certain classes of infinitely differentiable periodic functions in the metrics of C and L. For many important cases, these estimates coincide with the values of the best approximations of convolution classes by trigonometric polynomials calculated by Nagy, and, hence, they are exact.
Published
25.12.1997
How to Cite
SerdyukA. S. “Estimates of the Kolmogorov Widths for Classes of Infinitely Differentiable Periodic Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 12, Dec. 1997, pp. 1700–1706, https://umj.imath.kiev.ua/index.php/umj/article/view/5176.
Section
Short communications