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Kolmogorov, Linear and Pseudo-Dimensional Widths of Classes of $s$-Monotone Functions in $\mathbb{L}_p$, $0

Open Access article
  Published:2008-06-01
 Printed: Jun 2008
  • Victor N. Konovalov
  • Kirill A. Kopotun
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Abstract

Let $B_p$ be the unit ball in $\mathbb{L}_p$, $0
Keywords: Kolmogorov width, linear width, pseudo-dimensional widths, $s$-monotone functions Kolmogorov width, linear width, pseudo-dimensional widths, $s$-monotone functions
MSC Classifications: 41A46, 46E35, 41A29 show english descriptions Approximation by arbitrary nonlinear expressions; widths and entropy
Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
Approximation with constraints
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
 

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