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Quasi-Hermite-Fejér type interpolation of higher order

✍ Scribed by A Sharma; J Tzimbalario


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
433 KB
Volume
13
Category
Article
ISSN
0021-9045

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On Normal Pointsystems of Hermite–Fejér
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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 He

Hermite–Fejér interpolation operator and
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## Abstract In this paper we investigate the approximation behaviour of the so‐called Hermite–Fejér interpolation operator based on the zeros of Jacobi polynomials. As a result we obtain the asymptotic formula of approximation rate for these operators. Moreover, such a formula is valid for any indi