Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates

DOI10.1081/NFA-120039682zbMath1074.41011OpenAlexW2019288251MaRDI QIDQ3157835

Elza M. Farkhi, N. Richter-Dyn

Publication date: 19 January 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120039682

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (9)

Multi-segmental representations and approximation of set-valued functions with 1D images ⋮ Computation of the metric average of 2D sets with piecewise linear boundaries ⋮ Metric Fourier approximation of set-valued functions of bounded variation ⋮ Bernstein-type approximation of set-valued functions in the symmetric difference metric ⋮ Subdivision schemes of sets and the approximation of set-valued functions in the symmetric difference metric ⋮ Vanishing Price of Decentralization in Large Coordinative Nonconvex Optimization ⋮ The metric integral of set-valued functions ⋮ Metric approximation of set-valued functions of bounded variation ⋮ The convexification effect of Minkowski summation

Cites Work

• Unnamed Item
• Unnamed Item
• Einige Maßzahlen für nichtkonvexe Mengen
• Error estimates for discretized differential inclusions
• Approximation of convex set-valued functions
• Spline subdivision schemes for convex compact sets
• Towards fully discretized differential inclusions
• Integrals of set-valued functions
• Moduli of smoothness of vector valued functions of a real variable and applications
• Measures of the non-convexity of sets and the Shapley–Folkman–Starr theorem
• Quasi-Equilibria in Markets with Non-Convex Preferences
• Convex Analysis
• THE WORK OF A. N. KOLMOGOROV IN THE THEORY OF PROBABILITY

This page was built for publication: Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates