On |A|k summability factors of infinite series

Creative Commons License

Rhoades B., Savaş E.

Proceedings of the Estonian Academy of Sciences, cilt.59, sa.3, ss.201-206, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 59 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3176/proc.2010.3.02
  • Dergi Adı: Proceedings of the Estonian Academy of Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.201-206
  • Anahtar Kelimeler: Absolute summability, Summability factors
  • Uşak Üniversitesi Adresli: Hayır

Özet

In an earlier paper (Rhoades. B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002. 33(7), 1003-1009) the authors obtained necessary conditions for the series Σan to be absolutely summable of order k by a triangular matrix. In this paper we present sufficient conditions for absolute matrix summability factors. As a corollary we obtain a result of N. Singh (On |N̄,pn| summability factors of infinite series. Indian J. Math., 1968, 10, 19-24).