Multiple refinable Hermite interpolants

DOI10.1006/jath.1999.3376zbMath0952.41003OpenAlexW2044229224MaRDI QIDQ1969970

Ding-Xuan Zhou

Publication date: 15 January 2001

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3376

zbMATH Keywords

spectral radiirefinement equationsHermite interpolants

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (20)

Multivariate refinable Hermite interpolant ⋮ Scalar and Hermite subdivision schemes ⋮ Construction of wavelets and framelets on a bounded interval ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ Convergence of irregular Hermite subdivision schemes ⋮ \(L_p\)-solutions of vector refinement equations with general dilation matrix ⋮ Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ On Hermite vector splines and multi-wavelets ⋮ Lipschitz continuity of refinable functions on the Heisenberg group ⋮ Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets ⋮ Hermite subdivision schemes and Taylor polynomials ⋮ Norms concerning subdivision sequences and their applications in wavelets ⋮ Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets ⋮ Analysis and construction of multivariate interpolating refinable function vectors ⋮ Dyadic \(C^2\) Hermite interpolation on a square mesh ⋮ Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices ⋮ Stability implies convergence of cascade algorithms in Sobolev space ⋮ Spectra of subdivision operators

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