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WeightedL p approximation by modified hermite interpolation of higher order |
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| Authors: | B Della Vecchia G Mastroianni P Vértesi |
| Institution: | (1) Dipartimento di Matematica Istituto G. Castelnuovo, Università di Roma la Sapienza, P. le Aldo Moro 2, 00185 Roma;(2) Dipartimento di Matematica, Università Della Basilicata, Via N. Sauro 85, 85100 Potenza;(3) Istituto per Applicazioni Della Matematica, C.N.R., Via P. Castellino 111, 80131 Napoli;(4) Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, H-1364 Budapest |
| Abstract: | The authors establish necessary and sufficient conditions for the weightedL p 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.This material is based upon work supported by the Ministero della Università e della Ricerca Scientifica e Tecnologica (the first two authors), by the National Research Council (the second author) and by Hungarian National Foundation Grant No. 1910 (the third author). |
| Keywords: | Primary 41A05 42C05 |
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