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Fehlerabschätzungen für gewisse Näherungskoeffizienten
Authors:Dr K -H Mohn
Affiliation:1. Rechenzentrum, Ruhr-Universit?t Bochum, D-4630, Bochum, Bundesrepublik Deutschland
Abstract:Some simple error estimations for the approximate coefficients in the expansion of a real function by orthonormal polynomials are given. First we replace the function by an interpolation polynomial of degreen according to anyn+1 interpolation nodes, and in the second case we choose the nodes as the roots of some orthonormal polynomials of degreen+1.
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