Displaying similar documents to “The number of vertices of a Fano polytope”

Riemann sums over polytopes

Victor Guillemin, Shlomo Sternberg (2007)

Annales de l’institut Fourier

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It is well-known that the N -th Riemann sum of a compactly supported function on the real line converges to the Riemann integral at a much faster rate than the standard O ( 1 / N ) rate of convergence if the sum is over the lattice, Z / N . In this paper we prove an n-dimensional version of this result for Riemann sums over polytopes.