Norms of projectors onto spaces with Riesz bases

DOI10.1016/S0377-0427(00)00379-4zbMath0961.41008OpenAlexW1971406023MaRDI QIDQ1576458

Manfred von Golitschek

Publication date: 17 May 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00379-4

zbMATH Keywords

spline spaceoperator normorthogonal projection

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (1)

Two-stage approximation methods with extended B-splines

Cites Work

• \(L_\infty\)-boundedness of \(L_ 2-\)projections on splines for a geometric mesh
• The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
• Box splines
• On \(L_ p\)-boundedness of the \(L_ 2\)-projector onto splines
• Bounds on projections onto bivariate polynomial spline spaces with stable local bases
• Error bounds for minimal energy bivariate polynomial splines
• L ∞ -Boundedness of L 2 -Projections on Splines for a Multiple Geometric Mesh
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
• Inverses of Band Matrices and Local Convergence of Spline Projections
• On Finite Element Matrices
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