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Abstract
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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

J. Defranza

Department of Mathematics, St. Lawrence University, Canton 13617, New York, USA

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.