Uniqueness of the Gaussian quadrature for a ball

DOI10.1006/jath.1999.3442zbMath0979.41020OpenAlexW1975581510MaRDI QIDQ1567421

Guergana Petrova, Borislav D. Bojanov

Publication date: 26 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/14a88c5302754265b82d8157e3618d5e7a6019f6

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

On the construction of optimal cubature formulae which use integrals over hyperspheres, Quadrature formula for computed tomography, Harmonic interpolation based on Radon projections along the sides of regular polygons, Cubature formulae for spheres, simplices and balls., Optimal cubature formulas for tensor products of certain classes of functions, Construction of optimal cubature formulas related to computer tomography, Smoothing of Radon projections type of data by bivariate polynomials, Interpolation of harmonic functions based on Radon projections, Surface Reconstruction and Lagrange Basis Polynomials, Finite element approximation of the Isaacs equation, Cubature rules for harmonic functions based on Radon projections

Cites Work

• Lagrange interpolation on Chebyshev points of two variables
• Kubaturformeln mit minimaler Knotenzahl
• Numerical integration over a disc. A new Gaussian quadrature formula
• On minimal cubature formulae for product weight functions
• Gaussian extended cubature formulae for polyharmonic functions
• Approximation by Ridge Functions and Neural Networks
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