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On Normal Pointsystems of Hermite–Fejér Interpolation of Arbitrary Order

✍ Scribed by Ying Guang Shi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
127 KB
Volume
112
Category
Article
ISSN
0021-9045

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✦ Synopsis

Necessary conditions of normal pointsystems for Hermite-Fejér interpolation of arbitrary (even) order are given. In particular, one of the main results in this paper is: If a pointsystem consists of the zeros of orthogonal polynomials with respect to a weight w on [-1, 1] and is always normal for Hermite-Fejér interpolation of arbitrary (even) order, then w(x) ' (1 -x 2 ) -1/2 .

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