Generalized Christoffel functions and error of positive quadrature |
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| Authors: | G Mastroianni |
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| Institution: | (1) Dipartimento di Matematica, Università della Basilicata, Via N. Sauro 85, I-85100 Potenza, Italy |
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| Abstract: | The author gives some upper and lower bounds for the generalized Christoffel functions related to a Ditzian-Totik generalized weight. As an application, an error estimate of Gauss quadrature formula inL
1-weighted norm is derived.Dedicated to Prof. Luigi Gatteschi on the occasion of his 70th birthdayWork sponsored by MURST 40%. |
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| Keywords: | Christoffel functions orthogonal polynomials Gaussian rules |
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