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

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Beitr?ge zur Produktionswirtschaftse-distance weight functions, producing similar values around data points. In this paper, a parametric version of Shepard interpolation is introduced that avoids flat horizontal spots. Because Shepard interpolation or its parametric version does not require the solution of a system of equations, the

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https://doi.org/10.1007/978-3-662-59819-1eason 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

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Erfolgswirkung des Management-Stils 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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https://doi.org/10.1007/978-3-8349-8001-4 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