Simultaneous Approximation by Polynomial Projection Operators | Zendy

Xie T. F. | Zendy; Zhou S. P. | Zendy

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Simultaneous Approximation by Polynomial Projection Operators

Author(s) -

Xie T. F.,

Zhou S. P.

Publication year - 1996

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.3211810113

Subject(s) - mathematics , pointwise , projection (relational algebra) , bounded function , interpolation (computer graphics) , polynomial , sequence (biology) , degree (music) , function (biology) , mathematical analysis , pure mathematics , algorithm , image (mathematics) , physics , artificial intelligence , evolutionary biology , biology , computer science , acoustics , genetics

Pointwise estimates are obtained for simultaneous approximation of a function f and its derivatives by means of an arbitrary sequence of bounded projection operators with some extra condition (1.3) (we do not require the operators to be linear) which map C [‐1,1] into polynomials of degree n , augmented by the interpolation of f at some points near ±1. The present result essentially improved those in [BaKi3], and several applications are discussed in Section 4.

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