Double summability factor theorems and applications

Savaş E., Rhoades B.

Mathematical Inequalities and Applications, cilt.10, sa.1, ss.125-149, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.7153/mia-10-12
  • Dergi Adı: Mathematical Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.125-149
  • Anahtar Kelimeler: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
  • Uşak Üniversitesi Adresli: Hayır

Özet

We obtain sufficient conditions for the series ∑ ∑ amn, which is absolutely summable of order k by a double triangular matrix method A, to be such that ∑ ∑ amnλmn is absolutely summable of order k by a double triangular matrix B. As corollaries we obtain a number of inclusion theorems.