Tauberian Theorems for the Product of Weighted and Cesaro Summability Methods for Double Sequences

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Findik G., ÇANAK İ.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.38, ss.9-19, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 7
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5269/bspm.v38i7.44135
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Sayfa Sayıları: ss.9-19

Özet

In this paper, we obtain necessary and sufficient conditions, under which convergence of a double sequence in Pringsheim's sense follows from its weighted-Cesaro summability. These Tauberian conditions are one-sided or two-sided if it is a sequence of real or complex numbers, respectively.