Remarks on Quasi-Hermite-Fejér Interpolation
1964 ◽
Vol 7
(1)
◽
pp. 101-119
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Let1be n+2 distinct points on the real line and let us denote the corresponding real numbers, which are at the moment arbitrary, by2The 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).
1980 ◽
Vol 32
(5)
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pp. 1045-1057
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1998 ◽
Vol 39
(3)
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pp. 350-354