The Christoffel function for the Hermite weight is bell-shaped |
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| Authors: | Geno Nikolov |
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| Institution: | Department of Mathematics, University of Sofia, 5 James Bourchier Blvd., Sofia 1164, Bulgaria |
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| Abstract: | We show that the Christoffel function λn associated with the Hermite weight function wH(x)=exp(−x2) is bell-shaped. As a consequence, we describe completely how the weights in a Gauss-type quadrature formula associated with wH(x) are arranged in magnitude. |
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| Keywords: | primary 41A55 65D30 |
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