On a theorem of W. Meyer-König and H. Tietz
Makaleler > Tam Makale · 2005
Yazarlar: İbrahim ÇANAK, Mehmet Dik, Filiz Dik
International Journal of Mathematics and Mathematical Sciences, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2005, cilt 2005, ss 2491-2496
Özet
Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L, then convergence or subsequential convergence of (un,) out of L is recovered depending on the conditions on the general control modulo of the oscillatory behavior of different order. Copyright © 2005 Hindawi Publishing Corporation.