A characterization of absolute summability factors


Rhoades B., Savas E.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.8, ss.453-465, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.11650/twjm/1500407665
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.453-465

Özet

Let A and B be two summability methods. We shall use the notation lambda is an element of (A, B) to denote the set of all sequences lambda such that Sigmaa(n)lambda(n) is summable B, whenever Sigmaa(n) is summable A. In the present paper we characterize the sets lambda is an element of (\N,p(n)\, \T\(k)) and lambda is an element of (\(N) over bar ,p(n)\, \T\), where T is a lower triangular matrix with positive entries and row sums 1. As special cases we obtain summability factor theorems and inclusion theorems for pairs of weighted mean matrices.