Some Tauberian conditions for Cesaro summability method
Makaleler > Tam Makale · 2012
Yazarlar: İbrahim ÇANAK, Umit Totur
MATHEMATICA SLOVACA, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2012, cilt 62, ss 271-280
DOI: 10.2478/s12175-012-0008-y
Özet
Let u = (u(n)) be a sequence of real numbers whose generator sequence is Cesaro summable to a finite number. We prove that ( un) is slowly oscillating if the sequence of Cesaro means of (omega((m-1))(n)(u)) is increasing and the following two conditions are hold: