A unified approach to scattered data approximation on \(\mathbb{S}^{\mathbf {3}}\) and \(\mathrm{SO(3)}\)
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Publication:695639
DOI10.1007/s10444-011-9214-3zbMath1257.41001OpenAlexW2002924529MaRDI QIDQ695639
Publication date: 21 December 2012
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-011-9214-3
quaternionsscattered dataquadrature formulaeMarcinkiewicz-Zygmund inequalitiessampling setsrotation group \(\mathrm{SO(3)}\)sphere \(\mathbb{S}^{3}\)
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32)
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