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Stable discontinuous mapped bases: the Gibbs-Runge-Avoiding Stable Polynomial Approximation (GRASPA) method
Stefano De Marchi, Giacomo Elefante, Francesco Marchetti
The mapped bases or Fake Nodes Approach (FNA), introduced in [10], allows to change the set of nodes without the need of resampling the function. Such scheme has been successfully…
A linear barycentric rational interpolant on starlike domains
Jean-Paul Berrut, Giacomo Elefante
When an approximant is accurate on the interval, it is only natural to try to extend it to several-dimensional domains. In the present article, we make use of the fact that linear…
On -Chebyshev functions and points of the interval
Stefano De Marchi, Giacomo Elefante, Francesco Marchetti
In this paper, we introduce the class of -Chebyshev functions and corresponding points, which can be seen as a family of {\it generalized} Chebyshev polynomials and points.…