Determination of jumps in terms of linear operators

• Datum: 2015
• Hauptverfasser: Zviadadze, Sh., Звіададзе, Ш.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2097
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...