One-sided Tauberian conditions for (C, 1) summability method of integrals


Totur U., ÇANAK İ.

MATHEMATICAL AND COMPUTER MODELLING, cilt.55, ss.1813-1818, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.11.037
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.1813-1818

Özet

Let f be a real valued function which is continuous on [0, infinity). In this paper we prove a Tauberian-like theorem to retrieve slow oscillation of s(x) = integral(x)(0) f (t) dt out of its (C, 1) summability of the generator function nu(1)(x) and some additional conditions. As a corollary we recover convergence of s(x). (C) 2011 Elsevier Ltd. All rights reserved.