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2 results

  • On the absolute summability factor of Fourier series

  • Yasuo Okuyama
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 24 / Issue 3 / December 1981
    Published online by Cambridge University Press:
    17 April 2009, pp. 327-337
    Print publication:
    December 1981
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  • The purpose of this paper is to give a general theorem on the absolute Riesz summability factor of Fourier series which implies Matsumoto's Theorem [Tôhoku Math. J. 8 (1956), 114–124] and to deduce some results from the theorem.

  • On the absolute Nörlund summability factors of Fourier series

  • Yasuo Okuyama
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 12 / Issue 1 / February 1975
    Published online by Cambridge University Press:
    17 April 2009, pp. 9-21
    Print publication:
    February 1975
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  • The object of this paper is to give a general theorem which implies Izumi's Theorem and Kanno's Theorem on the absolute Nörlund summability factors of Fourier series and deduce to several known and new results from the theorem.