Mathematical Journal of Okayama University 60巻 1号
2018-01 発行
Necessary and sufficient Tauberian conditions for the A^r method of summability
Talo, Özer
Department of Mathematics Faculty of Science and Letters Manisa Celal Bayar University
Bas̨ar, Feyzi
İnönü University
Publication Date
2018-01
Abstract
Móricz and Rhoades determined the necessary and sufficient Tauberian conditions for certain weighted mean methods of summability in [Acta. Math. Hungar. 102(4) (2004), 279{285]. In the present paper, we deal with the necessary and sufficient Tauberian conditions for the Ar method which was introduced by Bas̨ar in [Fırat Üniv. Fen & Müh. Bil. Dergisi 5(1)(1993), 113{117].
Keywords
Summability by Ar methods
one-sided and two-sided Tauberian conditions
slowly oscillating sequences
Comments
Mathematics Subject Classi cation. Primary 40E05; Secondary 40G05.
ISSN
0030-1566
NCID
AA00723502
