Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\)

DOI10.1216/RMJ-2010-40-3-957zbMath1194.41035MaRDI QIDQ983503

V. N. Konovalov, Vitaly Maiorov, Kirill A. Kopotun

Publication date: 23 July 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

approximation of convex bodiesdegree of approximationshape preserving approximation

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Approximation of curve-based sleeve functions in high dimensions ⋮ Some problems in the theory of ridge functions

Cites Work

• Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions
• An approximation theorem of the Jackson type for functions of several variables
• Geometric applications of Chernoff-type estimates and a ZigZag approximation for balls
• On moduli of smoothness ofk-monotone functions and applications
• Universal approximation bounds for superpositions of a sigmoidal function
• Pointwise Estimates for Convex Polynomial Approximation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convex polynomial and ridge approximation of Lipschitz functions in \(\mathbb R^d\)