Nearly optimal meshes in subanalytic sets

DOI10.1007/s11075-012-9578-6zbMath1323.32007OpenAlexW1982669908MaRDI QIDQ715135

Wiesław Pleśniak

Publication date: 1 November 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9578-6

zbMATH Keywords

optimal meshessubanalytic geometryadmissible polynomial meshescardinality of accessible meshes

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (4)

Polynomial fitting and interpolation on circular sections ⋮ Suboptimal Polynomial Meshes on Planar Lipschitz Domains ⋮ Polynomial approximation and quadrature on geographic rectangles ⋮ Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies

Cites Work

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• On optimal polynomial meshes
• Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
• Uniform approximation by discrete least squares polynomials
• Semianalytic and subanalytic sets
• Inégalité de Markov dans les ensembles effiles
• UPC condition in polynomially bounded o-minimal structures
• On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Extension of $C^{∞}$ functions from sets with polynomial cusps
• Markov's Exponent of Compact Sets in ℂ n

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