Subsequential convergence conditions


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Canak I. , Totur U., Dik M.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007 (SCI İndekslerine Giren Dergi)

  • Basım Tarihi: 2007
  • Doi Numarası: 10.1155/2007/87414
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS

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.