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On the Mean Summability by Cesaro (C,a) and Abel-Poisson Methods of Trigonometric Fourier Series in the Weighted Lorentz Spaces

Author

Listed:
  • D.M. Israfilov

    (Balikesir University)

  • Vakhtang Kokilashvili

    (A. Razmadze Mathematical Institute Georgian Academy of Sciences)

  • I.E. Yıldırım

    (Balikesir University)

Abstract

In the paper the classical results on the mean convergence and summability of trigonometric Fourier series are extended to the weighted Lorentz spaces. 2000 Mathematics Subject Classification: 46E30.

Suggested Citation

  • D.M. Israfilov & Vakhtang Kokilashvili & I.E. Yıldırım, 2006. "On the Mean Summability by Cesaro (C,a) and Abel-Poisson Methods of Trigonometric Fourier Series in the Weighted Lorentz Spaces," IBSU Scientific Journal, International Black Sea University, vol. 1(1), pages 167-170.
    • Handle: RePEc:ibl:journl:v:1:y:2006:i:1:p:167-170
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    Keywords

    Fourier series; Cesaro means; Abel Poisson;
    All these keywords.

    JEL classification:

    • C39 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Other

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