Berezin symbols and Borel summability

GARAYEV M. T. , GÜRDAL M. , YAMANCI U.

QUAESTIONES MATHEMATICAE, cilt.40, ss.403-411, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2989/16073606.2017.1289989
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Sayfa Sayıları: ss.403-411

Özet

We prove in terms of so-called Berezin symbols some theorems for Borel summability method for sequences and series of complex numbers. Namely, we characterize the Borel convergent sequences and series; prove regularity of Borel summability method, and prove a new Tauberian type theorem for Borel summability.