On hyperbolic summation and hyperbolic moduli of smoothness

DOI10.1007/BF02432857zbMath0857.41007MaRDI QIDQ1915987

Anna Kamont

Publication date: 12 September 1996

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

hyperbolic modulus of smoothnesshyperbolic summationorthonormal spline

Mathematics Subject Classification ID

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

Related Items (6)

Spaces of functions of mixed smoothness and approximation from hyperbolic crosses ⋮ B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness ⋮ Spline interpolation on sparse grids ⋮ The Haar system in Besov-type spaces ⋮ Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross ⋮ Numerical integration and discrepancy, a new approach

Cites Work

• Unnamed Item
• Unnamed Item
• APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS OF FUNCTIONS OF SEVERAL VARIABLES ON THE TORUS
• Isomorphism of some anisotropic Besov and sequence spaces
• Constructive function theory and spline systems
• Commuting Boolean Algebras of Projections. II. Boundedness In L p
• Estimates for spline orthonormal functions and for their derivatives
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$

This page was built for publication: On hyperbolic summation and hyperbolic moduli of smoothness