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Some notes on Hermite-Fejer type interpolation |
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| Authors: | Shi Yingguang |
| Affiliation: | (1) Computing Center, Chinese Academy of Sciences, P.O.Box 2719, 100080 Beijing, PRC |
| Abstract: | Let Sn(f,x) be the Hermite-Fejér type interpolation satisfying Sn(f,xk)=f(xk), S′n(f,xk)=0, k=1,2,…,n and Sn(f,yi)=f(yi), j=1,2,…,m. For m=0, let Hn(f,x)≔Sn(f,x). This paper investigates relationship between Sn(f,x) and Hn(f,x), as well as, the saturation of Sn(f,x). |
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