Necessary and sufficient conditions for inclusion relations for absolute summability

Rhoades B., SAVAŞ E.

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, cilt.113, sa.3, ss.243-250, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 113 Sayı: 3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1007/bf02829605
  • Dergi Adı: Proceedings of the Indian Academy of Sciences: Mathematical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.243-250
  • Anahtar Kelimeler: Absolute summability, Cesáro matrix, Weighted mean matrix
  • Uşak Üniversitesi Adresli: Evet

Özet

We obtain a set of necessary and sufficient conditions for |N̄, pn|k to imply |N̄, qn|s for 1 < k ≤ s < ∞. Using this result we establish several inclusion theorems as well as conditions for the equivalence of |N̄, pn|k and |N̄, qn|s.