186,883 research outputs found
Exact order of the Lebesgue constant for bivariate Lagrange interpolation at certain node-system
One-sided convergence conditions for Hermite-Fejer interpolation of higher order of Lagrange type
Weighted Lp approximation by modified hermite interpolation of higher order
The authors establish necessary and sufficient conditions for the weighted Lp convergence at given rates of Hermite interpolation of higher order based on Jacobi zeros plus the endpoints ±1. Theorems on simultaneous approximation are also proved. © 1994 Akadémiai Kiadó
L p-convergence of Hermite and Hermite-Fejér interpolation
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
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