Tauberian conditions under which convergence follows from summability by the discrete power series method

SEZER S. A. , ÇANAK İ.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, ss.2898-2907, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1906-12
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2898-2907

Özet

In this paper, we obtain Tauberian conditions to recover convergence of a series from its discrete power series summability under certain conditions. As special cases of our main results, we get discrete analogues of some well-known Tauberian theorems in the literature.