A summability factor theorem and applications

Rhoades B., SAVAŞ E.

Applied Mathematics and Computation, cilt.153, sa.1, ss.155-163, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 153 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00620-9
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.155-163
  • 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 weighted mean method, to be such that ∑εnan is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. © 2003 Elsevier Inc. All rights reserved.