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One-sided convergence conditions for Hermite-Fejér interpolation of higher order of Lagrange type |
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| Authors: | B Della Vecchia G Mastroianni P Vértesi |
| Institution: | 1. Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale Aldo Moro 2, 00185, Roma, Italy 2. Dipartimento di Matematica, Università délia Basilicata, Via N. Sauro 85, 85100, Potenza, Italy 3. Hungarian Academy of Sciences, Mathematical Institute, P.O. Box 127, H-1364, Budapest, Hungary |
| Abstract: | The authors investigate the Hermite-Fejér interpolation of higher order of Lagrange type for continuous functions on the Jacobi abscissas. A uniform convergence theorem is stated, generalizing a previous result for Lagrange interpolation. |
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