Necessary and sufficient conditions for the weighted L p-convergence of Hermite and Hermite-Fejér interpolation of higher order based on Jacobi zeros are given, extending previous results for Lagrange interpolation. Error estimates in the weighted L p-norm are also shown. © 2013 Elsevier Inc.
L p-convergence of Hermite and Hermite-Fejér interpolation / DELLA VECCHIA, Biancamaria; G., Mastroianni; L., Szili; P., Vertesi. - In: JOURNAL OF APPROXIMATION THEORY. - ISSN 0021-9045. - STAMPA. - 176:(2013), pp. 1-14. [10.1016/j.jat.2013.08.001]
L p-convergence of Hermite and Hermite-Fejér interpolation
DELLA VECCHIA, Biancamaria;
2013
Abstract
Necessary and sufficient conditions for the weighted L p-convergence of Hermite and Hermite-Fejér interpolation of higher order based on Jacobi zeros are given, extending previous results for Lagrange interpolation. Error estimates in the weighted L p-norm are also shown. © 2013 Elsevier Inc.File allegati a questo prodotto
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