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

北极人

Parabolic Molecules: Curvelets, Shearlets, and Beyond,eason for their success is their superior ability to optimally resolve anisotropic structures such as singularities concentrated on lower dimensional embedded manifolds, for instance, edges in images or shock fronts in solutions of transport dominated equations. By now, a large variety of such aniso

ADAGE

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乱砍

Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness, commonly used positive integral operators on spheres. This approach is novel and effective. We develop two readily verifiable and implementable conditions for the kernels of the integral operators under which favorable decay rates of eigenvalue sequences are derived. The first one (based on spheric

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Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices, important task with a variety of applications. The use of rank-1 lattices as spatial discretizations offers a suitable possibility for sampling such sparse trigonometric polynomials. Given an arbitrary index set of frequencies, we construct rank-1 lattices that allow a stable and unique discrete Fo

蒙太奇

On Nondegenerate Rational Approximation,envalue (i.e., reference equioscillation error) unless started near an optimal reference. Here we present a modified algorithm that is robust and prove when the revised algorithm’s total degree rational . approximation is optimal for . lesser degrees. Detailed examples and their figures show the bou

Osteons

Lower Bound on the Dimension of Trivariate Splines on Cells, chapter, we analyze the dimension of .. trivariate splines on cells, which are tetrahedral complexes sharing a single interior vertex. The dimension depends on subtle geometry of the fatpoints corresponding to the configuration of the hyperplanes adjacent to the interior vertex. A key tool is the c

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One Characterization of Lagrange Projectors,tivariate setting. An important class of ideal projectors comprises Lagrange interpolation projectors. In this article, we give a characterization of Lagrange projectors in terms of their “restriction property.”

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Approximation Theory XIV: San Antonio 2013978-3-319-06404-8Series ISSN 2194-1009 Series E-ISSN 2194-1017

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Erfolgsstrategien für Immobilienmaklerix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These conditions and the investigation of the error especially take different levels of smoothness along certain directions into account.