Tauberian conditions with controlled oscillatory behavior

ÇANAK İ., Totur U., Allahverdiev B.

APPLIED MATHEMATICS LETTERS, cilt.25, sa.3, ss.252-256, 2012 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aml.2011.08.017
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.252-256
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

Let (u(n)) be a sequence of real numbers. In this paper, we give new Tauberian conditions imposed on the general control modulo of the oscillatory behavior of integer order m >= 1 of a sequence (u(n)), under which, convergence follows from the Abel summability. These are generalizations of some of the well-known classical Tauberian conditions. (C) 2011 Elsevier Ltd. All rights reserved.