A summability factor theorem and applications


Rhoades B., Savas E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.153, ss.155-163, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 153 Konu: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00620-9
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.155-163

Özet

We obtain sufficient conditions for the series Sigma a(n), which is absolutely summable of order k by a weighted mean method, to be such that Sigma epsilon(n)a(n) is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. (C) 2003 Elsevier Inc. All rights reserved.