General inclusion relations for absolute summability

SAVAŞ E.

Mathematical Inequalities and Applications, cilt.8, sa.3, ss.521-527, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 3
  • Basım Tarihi: 2005
  • Doi Numarası: 10.7153/mia-08-47
  • Dergi Adı: Mathematical Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.521-527
  • Anahtar Kelimeler: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
  • Uşak Üniversitesi Adresli: Evet

Özet

We obtain sufficient conditions for the series ∑an, which is absolutely summable of order k by a triangular matrix method A, 1 < k ≤ s < ∞, to be such that ∑an is absolutely summable of order s by a triangular matrix B. As corollaries, we obtain a number of inclusion theorems. © ELEMENT, Zagreb.