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On the Relations among Best Approximation and Fourier Coefficients

Yu, Dansheng and Zhou, Ping and Zhou, Songping (2007) On the Relations among Best Approximation and Fourier Coefficients. [Preprint]

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    Abstract

    We discuss the relations among the best approximation E_n (f) and the Fourier coefficients of a function, \hat{f}(n) \in C, n = 0,\pm 1,\pm 2,..., under the conditions that {\hat{f}(n)}_n^\infty =0 \in MVBVS and {\hat{f} + f(−n)}_n^\infty = 0 \in MVBVS, where MVBVS is the class of so called Mean Value Bounded Variation Sequences.

    Item Type: Preprint
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: AARMS
    Subjects: 42-xx Fourier analysis > 42Axx Fourier analysis in one variable
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 09 Jul 2007
    Last Modified: 19 Aug 2010 14:58
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/368

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