Summability factor theorems for triangular matrices

Savaş E., Rhoades B.

Journal of Computational Analysis and Applications, cilt.9, sa.3, ss.319-336, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 3
  • Basım Tarihi: 2007
  • Dergi Adı: Journal of Computational Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.319-336
  • Anahtar Kelimeler: Absolute summability, Summability factor
  • Uşak Üniversitesi Adresli: Hayır

Özet

We obtain necessary and sufficient conditions for the series Σa n summable |A| to imply that Σanλn is summable |B|k, and for the series Σan summable |A|k to imply that Σanλn is summable |B|, k ≥ 1 where A and B are lower triangular matrices. COPYRIGHT 2007 EUDOXUS PRESS ,LLC.