Summability factor theorems for triangular matrices

Savas E., Rhoades B. E.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.9, sa.3, ss.319-336, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Konu: 3
  • Basım Tarihi: 2007
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.319-336

Özet

We obtain necessary and sufficient conditions for the series Sigma a(n) summable \A\ to imply that Sigma a(n)lambda(n) is summable \B\(k), and for the series Sigma(an) summable \A\(k) to imply that Sigma a(n)lambda(n) is summable \B\, k >= 1 where A and B are lower triangular matrices.