International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 2, Pages 353-364
doi:10.1155/S0161171281000215
An ordered set of Nörlund means
Department of Mathematics, St. Lawrence University, Canton 13617, New York, USA
Received 7 March 1980; Revised 28 April 1980
Copyright © 1981 J. Defranza. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Nörlund methods of summability are studied as mappings from ℓ1 into ℓ1. Those Nörlund methods that map ℓ1 into ℓ1 are characterized. Inclusion results are given and a class of Nörlund methods is shown to form an ordered abelian semigroup.