Hermite–Fejér interpolation operator and characterization of functions | Zendy

Xie Tingfan | Zendy; Zhou Xinlong | Zendy

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Hermite–Fejér interpolation operator and characterization of functions

Author(s) -

Xie Tingfan,

Zhou Xinlong

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510704

Subject(s) - mathematics , hermite polynomials , operator (biology) , hermite interpolation , interpolation (computer graphics) , characterization (materials science) , term (time) , shift operator , function (biology) , pure mathematics , mathematical analysis , compact operator , extension (predicate logic) , repressor , chemistry , computer science , biochemistry , quantum mechanics , transcription factor , animation , physics , gene , nanotechnology , biology , evolutionary biology , programming language , materials science , computer graphics (images)

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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