Extended Tauberian Theorem for the weighted mean Method of Summability

Makaleler > Tam Makale · 2013

Yazarlar: İbrahim ÇANAK, U. Totur

Ukrainian Mathematical Journal, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2013, cilt 65, ss 1032-1041

DOI: 10.1007/s11253-013-0839-x

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.

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