More on Favard interpolation from subsets of a rectangular lattice
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Favard interpolation from subsets of a rectangular lattice
This is a study of Favard interpolation—in which the nth derivatives of the interpolant are bounded above by a constant times the nth divided differences of the data—in the case the data is given on some subset of a rectangular lattice in R k. In some instances, depending on the geometry of this subset, we construct a Favard interpolant, and in other instances, we prove that none exists.
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تاریخ انتشار 2016