International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 2, Pages 353-364

An ordered set of Nörlund means

J. Defranza

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.


Nörlund methods of summability are studied as mappings from 1 into 1. Those Nörlund methods that map 1 into 1 are characterized. Inclusion results are given and a class of Nörlund methods is shown to form an ordered abelian semigroup.