# Kolmogorov, Linear and Pseudo-Dimensional Widths of Classes of $s$-Monotone Functions in $\mathbb{L}_p$, $0  Read article[PDF: 135KB] Published:2008-06-01 Printed: Jun 2008 • Victor N. Konovalov • Kirill A. Kopotun  Format: HTML LaTeX MathJax PDF PostScript ## Abstract Let$B_p$be the unit ball in$\mathbb{L}_p$,$0
 Keywords: Kolmogorov width, linear width, pseudo-dimensional widths, $s$-monotone functions
 MSC Classifications: 41A46 - Approximation by arbitrary nonlinear expressions; widths and entropy 46E35 - Sobolev spaces and other spaces of smooth'' functions, embedding theorems, trace theorems 41A29 - Approximation with constraints