A multivariate version of Hammer's inequality and its consequences in numerical integration

DOI10.1007/s00025-018-0788-7zbMath1496.65039OpenAlexW4300550713MaRDI QIDQ1743245

Allal Guessab, Boris Semisalov

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0788-7

zbMATH Keywords

cubatureerror estimatesconvexityapproximationbest constants

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical quadrature and cubature formulas (65D32) Best constants in approximation theory (41A44)

Related Items (6)

Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration ⋮ A tight Hermite-Hadamard inequality and a generic method for comparison between residuals of inequalities with convex functions ⋮ A multivariate version of Hammer's inequality and its consequences in numerical integration ⋮ Extended Multidimensional Integration Formulas on Polytope Meshes ⋮ A characterization for the validity of the Hermite-Hadamard inequality on a simplex ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements

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