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Simultaneous approximation by hermite interpolation of higher order |
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| Authors: | Biancamaria Della Vecchia, Giuseppe Mastroianni,P ter V rtesi |
| Affiliation: | a Instituto per Applicazioni della Matematica, C.N.R., Via P. Castellino 111, I-80131 Napoli, Italy b Instituto di Matematica, Universitá della Basilicata, Via N. Saura 85, I-85100 Potenza, Italy c Mathematical Institute of the Hungarian Academy of Sciences, P.O. Box 127, H-1364 Budapest, Hungary |
| Abstract: | The authors consider a procedure of Hermite interpolation of higher order based on the zeros of Jacobi polynomials plus the endpoints ±1 and prove that such a procedure can always well approximate a function and its derivatives simultaneously in uniform norm. |
| Keywords: | Hermite interpolation Jacobi polynomials Uniform convergence |
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