A Tauberian Theorem for (C, 1) Summability Method

نویسندگان

  • İbrahim Çanak
  • Adnan Menderes
چکیده

In this paper, we retrieve slow oscillation of a real sequence u = (u n) out of (C, 1) summability of the generator sequence (V (0) n (Δu)) of (u n) under some additional condition. Consequently, we recover convergence or subsequential convergence of (u n) out of (C, 1) summability of (u n) under certain additional conditions that control oscillatory behavior of the sequence (u n).

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تاریخ انتشار 2007