Shape-preserving kolmogorov widths of classes of s-monotone integrable functions

• Date: 2004
• Main Authors: Konovalov, V. N., Коновалов, В. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3808
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $s ∈ ℕ$ and $Δ^s_{+}$ be a set of functions $x$ which are defined on a finite interval $I$ and are such that, for all collections of $s + 1$ pairwise different points $t_0,..., t_s \in I$, the corresponding divided differences $[x; t_0,..., t_s ]$ of order $s$ are nonnegative. Let $\Delta^s_{+}...