Necessary and sufficient conditions for inclusion relations for absolute summability


Rhoades B., Savas E.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.113, ss.243-250, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 113 Konu: 3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1007/bf02829605
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.243-250

Özet

We obtain a set of necessary and sufficient conditions for \N.p(n)\(k) to imply \(N) over bar ,q(n)\(s) for 1 < k less than or equal to s < infinity. Using this result we establish several inclusion theorems as well as conditions for the equivalence of \(N) over bar ,p(n)\(k) and \(N) over bar ,q(n)\(s).