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Remarks on Quasi-Hermite-Fejér Interpolation

Published online by Cambridge University Press:  20 November 2018

A. Sharma
A. Sharma*
Affiliation:
University of Alberta, Calgary
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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).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 1 , March 1964 , pp. 101 - 119
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Szász, P., On Quasi - Hermite Fejér Interpolation. Acta Mathematicae Hungaricae, Vol.X (1959) pp.413–439.Google Scholar
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