2017
Том 69
№ 12

# Exact order of relative widths of classes $W^r_1$ in the space $L_1$

Parfinovych N. V.

Abstract

As $n \rightarrow \infty$ the exact order of relative widths of classes $W^r_1$ of periodic functions in the space $L_1$ is found under restrictions on higher derivatives of approximating functions.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 10, pp 1652-1662.

Citation Example: Parfinovych N. V. Exact order of relative widths of classes $W^r_1$ in the space $L_1$ // Ukr. Mat. Zh. - 2005. - 57, № 10. - pp. 1409–1417.

Full text