One-sided Tauberian conditions for (C,1) summability method of integrals
Makaleler > Tam Makale · 2011
Yazarlar: Umit Totur, İbrahim ÇANAK
Mathematical and Computer Modelling, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2011, cilt 55, ss 1813-1818
DOI: 10.1016/j.mcm.2011.11.037
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.