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      https://www.ias.ac.in/article/fulltext/pmsc/113/04/0355-0363

    • Keywords

       

      Complex double Fourier series; L1-convergence of Fourier series; Cesàro means; de Ia Vallée-Poussin means; Tauberian condition of Hardy-Karamata kind

    • Abstract

       

      It is proved that the complex double Fourier series of an integrable functionf(x, y) with coefficients cjk satisfying certain conditions, will converge in L1-norm. The conditions used here are the combinations of Tauberian condition of Hardy-Karamata kind and its limiting case. This paper extends the result of Bray [1] to complex double Fourier series.

    • Author Affiliations

       

      Kulwinder Kaur1 S S Bhatia1 Babu Ram1 2

      1. School of Mathematics and Computer Applications, Thapar Institute of Engineering and Technology, Post Box No. 32, Patiala - 147 004, India
      2. Department of Mathematics, Maharshi Dayanand University, Rohtak, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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