Meaningful and co-meaningful sequences

Jameson, Graham (2020) Meaningful and co-meaningful sequences. Mathematical Inequalities and Applications, 23 (4): 105. pp. 1469-1478. ISSN 1331-4343

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Abstract

Two versions of the concept "meaningful" are distinguished, "strictly" and "power" meaningful. By establishing the converse of a theorem of Bennett, a full characterisation of strictly meaningful sequences is given. A dual concept "co-meaningful" is introduced (again in two versions), and an analogous characterisation is obtained.