Saturation of the Shepard operators |
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| Authors: | B. Della Vecchia G. Mastroianni V. Totik |
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| Affiliation: | (1) Ist. per Appl. della Matem, CNR, Via P. Castellino, 111, 80131 Napoli, Italy;(2) Ist. di Matematica, Via N. Sauro, 85, 85100 Potenza, Italy;(3) Ist. per Appl. Della Matem CNR, 80131 Napoli, Italy;(4) Bolyai Institute, Aradi V. tere 1, 6720 Szeged, Hungary;(5) Dept. of Mathematics, University of South Florida, 33620 Tampla, FL, USA |
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| Abstract: | We discuss the Shepard operators Sn (f; x) in this paper and establish the saturation of the sequence {Sn f} n-1 ∞ , as well as investigate some related questions. The research of this author was supported in part by the Hungarian Science Foundation for Research, Grant. N o . 1157. |
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