ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS

One-sided widths of the classes of functions Wpr [0,1] in the metric Lq [0,1], 1≤ p, q ≤ ∞, r ≥ 1 are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.

Bibliographic Details
Main Author: Yurii N. Subbotin
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2015-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/20