Berezin symbols and Borel summability

GARAYEV M. T., GÜRDAL M., YAMANCI U.

QUAESTIONES MATHEMATICAE, cilt.40, sa.3, ss.403-411, 2017 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2989/16073606.2017.1289989
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.403-411
  • Süleyman Demirel Üniversitesi Adresli: Evet

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.