Where there's a Will there's a way -- the research of Will Light

DOI10.1007/s11075-004-3618-9zbMath1073.41001OpenAlexW2049008841MaRDI QIDQ1776164

Jeremy Levesley

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3618-9

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of approximations and expansions (41-03)

Cites Work

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• Quasi-interpolation by thin-plate splines on a square
• Proximinality in \(L_ p(S,Y)\)
• Interpolation by piecewise-linear radial basis functions. II
• The Diliberto-Straus algorithm in \(L_ 1(X\times Y)\)
• The Chebyshev solution of certain matrix equations
• Minimal projections in bivariate function spaces
• Approximation theory in tensor product spaces
• Interpolation by piecewise-linear radial basis functions. I
• Some optimality conditions for Chebyshev expansions
• On the approximation of a bivariate function by the sum of univariate functions
• Non-linear families of projections on C[-1, 1]
• Elementary \(m\)-harmonic cardinal B-splines
• Approximation with monotone norms in tensor product spaces
• Quasi-interpolation with translates of a function having noncompact support
• Univariate multiquadric approximation: Quasi-interpolation to scattered data
• Interpolation by periodic radial basis functions
• Fast evaluation of radial basis functions. I
• Constructive methods of approximation by ridge functions and radial functions
• Spaces of distributions, interpolation by translates of a basis function and error estimates
• Techniques for generating approximations via convolution kernels
• A survey on spherical spline approximation
• On power functions and error estimates for radial basis function interpolation
• In memoriam: William Allan Light (1950--2002)
• Refined error estimates for radial basis function interpolation
• Extension theorems for spaces arising from approximation by translates of a basic function
• On local and controlled approximation order
• Approximation by multiinteger translates of functions having global support
• On the von Neumann alternating algorithm in Hilbert space
• Positive and minimal projections in function spaces
• Direct form seminorms arising in the theory of interpolation by translates of a basis function
• A note on the limited stability of surface spline interpolation
• An optimal property of Chebyshev expansions
• On the failure of proximinality of tensor-product subspaces
• On the approximation of a function of several variables by the sum of functions of fewer variables
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
• Projections on Tensor Product Spaces
• Minimal projections in L_p-spaces
• Controlled Approximation and a Characterization of the Local Approximation Order
• A Counterexample to a Result Concerning Controlled Approximation
• A note on proximinality in C(S × T) with the L₁-norm
• An Order of Convergence for Some Radial Basis Functions
• Some best-approximation theorems in tensor-product spaces
• Convergence of the diliberto-straus algorithm in L₁(XxY)
• Approximation by Solutions of the Planar Wave Equation
• Strictly Positive Definite Functions on Spheres
• Norms of projections on L∞ [ - 1, 1 and C [ -1, 1].]
• A Comparison Between Chebyshev and Ultraspherical Expansions
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Projections on spaces of continuous functions.
• Error estimates for scattered data interpolation on spheres
• Fast evaluation of radial basis functions: methods for two-dimensional polyharmonic splines
• Approximation orders for interpolation by surface splines to rough functions
• Convolution Operators for Radial Basis Approximation
• THE CHARACTERIZATION OF BEST APPROXIMATIONS IN TENSOR-PRODUCT SPACES
• Minimal projections in tensor-product spaces
• Minimal projections in tensor-product spaces
• Interpolation by polynomials and radial basis functions on spheres