On averaging sets

DOI10.1007/BF01299278zbMath0721.65011OpenAlexW2043149386MaRDI QIDQ2641072

Gerold Wagner

Publication date: 1991

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178511

zbMATH Keywords

quadrature formulasNewton iterationnumerical calculationsaveraging setsd-dimensional spherical t-designs

Mathematics Subject Classification ID

Other designs, configurations (05B30) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (20)

Design theory from the viewpoint of algebraic combinatorics ⋮ Explicit spherical designs ⋮ Explicit construction of exact unitary designs ⋮ On averaging multisets ⋮ Polynomial discrepancy of sequences ⋮ Optimal asymptotic bounds for spherical designs ⋮ Simple universal bounds for Chebyshev-type quadratures ⋮ Energy functionals, numerical integration and asymptotic equidistribution on the sphere. ⋮ Spherical Framelets from Spherical Designs ⋮ Spherical designs and finite group representations (some results of E. Bannai). ⋮ New asymptotic estimates for spherical designs ⋮ Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs ⋮ Chebyshev-type quadratures for doubling weights ⋮ Well-separated spherical designs ⋮ On a new method for constructing good point sets on spheres ⋮ Spherical Designs, Discrepancy and Numerical Integration ⋮ Rational designs ⋮ Curve based approximation of measures on manifolds by discrepancy minimization ⋮ A survey on spherical designs and algebraic combinatorics on spheres ⋮ Small designs for path-connected spaces and path-connected homogeneous spaces

Cites Work

• Averaging sets: A generalization of mean values and spherical designs
• On a new method for constructing good point sets on spheres
• Spherical codes and designs
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