Determination of jumps in terms of linear operators

A theorem of Luk´acs [4] states that the partial sums of conjugate Fourier series of a periodic Lebesgue integrable function $f$ diverge with a logarithmic rate at the points of discontinuity of $f$ of the first kind. M´oricz [5] proved a similar theorem for the rectangular partial sums of double va...

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Bibliographic Details
Date:2015
Main Authors: Zviadadze, Sh., Звіададзе, Ш.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2097
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal