2017
Том 69
№ 7

All Issues

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

Serdyuk A. S.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1919-1926.

Citation Example: Serdyuk A. S. Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1700–1706.

Full text