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On the optimal approximation of bounded linear functionals in Hilbert spaces with inner product invariant in rotation or translation

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Publication:1232154
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DOI10.1016/0771-050X(76)90049-8zbMath0342.65036MaRDI QIDQ1232154

Augustin Paulik

Publication date: 1976

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Best approximation, Chebyshev systems (41A50) Numerical integration (65D30)


Related Items (2)

A note on Davis type error bounds ⋮ On the determination of the weights in multi-dimensional numerical quadrature




Cites Work

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  • Zur numerischen Integration periodischer Funktionen nach der Rechteckregel. (Numerical integration of periodic functions by the rectangular rule)
  • Optimal approximation and error bounds in seminormed spaces
  • Optimale approximation linearer Funktionale auf periodischen Funktionen
  • On some Hilbert spaces of harmonic functions
  • Optimal rules for numerical integration round the unit circle




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