Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization

DOI10.1007/s11590-018-1250-1zbMath1414.90332OpenAlexW2789328291MaRDI QIDQ1800451

Marco Vianello

Publication date: 23 October 2018

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11577/3281191

zbMATH Keywords

trigonometric polynomialspolynomial optimizationDubiner distancenorming meshessubintervals of the period

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (4)

Quadrature-based polynomial optimization ⋮ Near G-optimal Tchakaloff designs ⋮ Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies ⋮ Near-optimal polynomial interpolation on spherical triangles

Cites Work

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• Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\)
• Polynomial fitting and interpolation on circular sections
• A note on total degree polynomial optimization by Chebyshev grids
• On optimal polynomial meshes
• Uniform approximation by discrete least squares polynomials
• Pseudometrics, distances and multivariate polynomial inequalities
• The complexity of optimizing over a simplex, hypercube or sphere: a short survey
• Some applications of a polynomial inequality to global optimization
• Polynomial approximation and quadrature on geographic rectangles
• Bernstein-type inequalities
• Bivariate polynomial interpolation on the square at new nodal sets
• The theory of multi-dimensional polynomial approximation
• Schwankung von Polynomen zwischen Gitterpunkten. (Oscillations of polynomials between lattice points)
• Trigonometric Gaussian quadrature on subintervals of the period
• Jacobi norming meshes
• Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points
• Low cardinality admissible meshes on quadrangles, triangles and disks
• Norming meshes by Bernstein-like inequalities

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