Remarks on Quasi-Hermite-Fejér Interpolation
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 101-119
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Let 1 be n+2 distinct points on the real line and let us denote the corresponding real numbers, which are at the moment arbitrary, by 2 The problem of Hermite-Fejér interpolation is to construct the polynomials which take the values (2) at the abscissas (1) and have preassigned derivatives at these points. This idea has recently been exploited in a very interesting manner by P. Szasz [1] who has termed qua si-Hermite-Fejér interpolation to be that process wherein the derivatives are only prescribed at the points x1, x2, ..., xn and the points -1, +1 are left out, while the values are prescribed at all the abscissas (1).
Sharma, A. Remarks on Quasi-Hermite-Fejér Interpolation. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 101-119. doi: 10.4153/CMB-1964-013-7
@article{10_4153_CMB_1964_013_7,
author = {Sharma, A.},
title = {Remarks on {Quasi-Hermite-Fej\'er} {Interpolation}},
journal = {Canadian mathematical bulletin},
pages = {101--119},
year = {1964},
volume = {7},
number = {1},
doi = {10.4153/CMB-1964-013-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-013-7/}
}
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