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Ukrainian Mathematical Journal

, Volume 65, Issue 7, pp 1032–1041 | Cite as

Extended Tauberian Theorem for the weighted mean Method of Summability

  • Ï. Çanak
  • Ü. Totur
Article

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 (∆u)) and some other conditions, this theorem establishes the property of slow oscillation of the indicated sequence.

Keywords

Oscillatory Behavior Real Sequence Sequence Versus Summability Method Integer Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Ï. Çanak
    • 1
  • Ü. Totur
    • 2
  1. 1.Ege UniversityIzmirTurkey
  2. 2.Adnan Menderes UniversityAydinTurkey

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