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Hermite–Fejér interpolation operator and characterization of functions

✍ Scribed by Tingfan Xie; Xinlong Zhou

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
155 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 individual continuous function. We will also study the K ‐functional deduced by this operator. Consequently the asymptotic term of this K ‐functional is established. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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