Extended Tauberian Theorem for the weighted mean Method of Summability


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ÇANAK İ. , Totur U.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.65, ss.1032-1041, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 65 Konu: 7
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11253-013-0839-x
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.1032-1041

Özet

We prove a new Tauberian-like theorem. For a real sequence u = (u (n) ), on the basis of the weighted mean summability of its generator sequence (V ((0)) (n,p) (a dagger u)) and some other conditions, this theorem establishes the property of slow oscillation of the indicated sequence.