Subsequential convergence conditions
Makaleler > Tam Makale · 2007
Yazarlar: İbrahim ÇANAK, Umit Totur, Mehmet Dik
JOURNAL OF INEQUALITIES AND APPLICATIONS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2007, cilt 2007, ss 1-9
DOI: 10.1155/2007/87414
Özet
Let (u(n)) be a sequence of real numbers and let L be any (C, 1) regular limitable method. We prove that, under some assumptions, if a sequence (u(n)) or its generator sequence (V-n((0))(Delta u) generated regularly by a sequence in a class A of sequences is a subsequential convergence condition for L, then for any integer m >= 1, the mth repeated arithmetic means of (V-n((0))(Delta u)), (V-n((m))(Delta u)), generated regularly by a sequence in the class A(m), is also a subsequential convergence condition for L. Copyright (C) 2007.