Upper semicontinuous functions and the Stone approximation theorem

DOI10.1016/0021-9045(82)90110-1zbMath0483.41028OpenAlexW2030892469MaRDI QIDQ1163178

Gerald A. Beer

Publication date: 1982

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90110-1

zbMATH Keywords

Hausdorff metricepiconvergencefunction latticetopological convergence of hypographs

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (13)

Iterated Bernstein operators for distribution function and density estimation: balancing between the number of iterations and the polynomial degree ⋮ Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity ⋮ Tightness of supercritical Liouville first passage percolation ⋮ Uniqueness of the critical and supercritical Liouville quantum gravity metrics ⋮ Introduction to the Liouville quantum gravity metric ⋮ Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric ⋮ Application of iterated Bernstein operators to distribution function and density approximation ⋮ Cone Lattices of Upper Semicontinuous Functions ⋮ Existence, uniqueness, and continuous dependence for hereditary differential equations ⋮ Differential equations with fuzzy parameters via differential inclusions ⋮ On visual distances in density estimation: the Hausdorff choice ⋮ Unimodular measures on the space of all Riemannian manifolds ⋮ In which metric spaces are parallel bodies of closed sets closed?

Cites Work

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• Convergence de fonctionnelles convexes
• On the relations between two types of convergence for convex functions
• Convergence of convex sets and of solutions of variational inequalities
• Convergence of Sequences of Convex Sets, Cones and Functions. II
• Graph Topology for Function Spaces

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