Extended Tauberian Theorem for the weighted mean Method of Summability
Articles > Article · 2013
Authors: İbrahim ÇANAK, U. Totur
Ukrainian Mathematical Journal, Journal Indexed in SCI Expanded, International, WoS, 2013, vol 65, pp 1032-1041
DOI: 10.1007/s11253-013-0839-x
Summary
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.