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Trigonometric Series with Piecewise Bounded Variation Coefficients

Yu, Dansheng and Zhou, Ping and Zhou, Songping (2007) Trigonometric Series with Piecewise Bounded Variation Coefficients. [Preprint]

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    Abstract

    We generalize some classical results in convergence and integrability for the trigonometric series with non-negative coefficients to the series with varying coefficients (they may change signs), by introducing the so-called piecewise bounded variation sequences (PBVS).

    Item Type: Preprint
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: trigonometric series, piecewise bounded variation sequence, pointwise and uniform convergence, integrability, 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/369

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