Approximation of Functions on [−1,1] and Their Derivatives by Polynomial Projection Operators | Zendy

Balázs K. | Zendy; Kilgore T. | Zendy

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Approximation of Functions on [−1,1] and Their Derivatives by Polynomial Projection Operators

Author(s) -

Balázs K.,

Kilgore T.

Publication year - 1993

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.19931620104

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

Pointwise estimates are obtained for the simultaneous approximation of a function f ϵ C q [‐1,1] and its derivatives f (1) , …, f (q) by means of an arbitrary sequence of bounded linear projection operators L n which map C [‐1,1] into the polynomials of degree at most n , augmented by the interpolation of f at some points near ± 1.

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