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Titlebook: Approximation Theory XIV: San Antonio 2013; Gregory E. Fasshauer,Larry L. Schumaker Conference proceedings 2014 Springer International Pub

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Beiträge zur Produktionswirtschaft interpolation is stable under varying density and organization of data points as well as under highly varying data values. The suitability of parametric Shepard interpolation in nonrigid image registration is investigated and its speed and accuracy are compared with those of multiquadric, thin-plate spline, and moving least-squares.
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Erfolgswirkung des Management-Stilstions for the kernels of the integral operators under which favorable decay rates of eigenvalue sequences are derived. The first one (based on spherical mean operators) is an enhancement of the classical Hölder condition. The second one, works seamlessly with the Laplace-Beltrami operators and can be applied directly to Bessel potential kernels.
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Erfolgswirkung des Management-Stilse when the revised algorithm’s total degree rational . approximation is optimal for . lesser degrees. Detailed examples and their figures show the bounded eigenvalue computations, steps of the Remes one point exchange for reference searching, and degeneracy pyramids of the revised robust algorithm.
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Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices,sparse trigonometric polynomials. Given an arbitrary index set of frequencies, we construct rank-1 lattices that allow a stable and unique discrete Fourier transform. We use a component-by-component method in order to determine the generating vector and the lattice size.
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On Nondegenerate Rational Approximation,e when the revised algorithm’s total degree rational . approximation is optimal for . lesser degrees. Detailed examples and their figures show the bounded eigenvalue computations, steps of the Remes one point exchange for reference searching, and degeneracy pyramids of the revised robust algorithm.
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