Tauberian conditions with controlled oscillatory behavior


ÇANAK İ., Totur U., Allahverdiev B.

APPLIED MATHEMATICS LETTERS, cilt.25, ss.252-256, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aml.2011.08.017
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.252-256

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.