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On the Cèsaro and Copson Norms of Nonnegative Sequences
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0001-5459-0796
2019 (English)In: Ukrainian Mathematical Journal, ISSN 0041-5995, E-ISSN 1573-9376, Vol. 71, no 2, p. 248-258Article in journal (Refereed) Published
Abstract [en]

The Cèsaro and Copson norms of a nonnegative sequence are the lp -norms of its arithmetic means and the corresponding conjugate means. It is well known that, for 1 < p < 1, these norms are equivalent. In 1996, G. Bennett posed the problem of finding the best constants in the associated inequalities. The solution of this problem requires the evaluation of four constants. Two of them were found by Bennett. We find one of the two unknown constants and also prove one optimal weighted-type estimate for the remaining constant.

Place, publisher, year, edition, pages
Springer, 2019. Vol. 71, no 2, p. 248-258
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-75741DOI: 10.1007/s11253-019-01642-7Scopus ID: 2-s2.0-85073948250OAI: oai:DiVA.org:kau-75741DiVA, id: diva2:1369703
Available from: 2019-11-12 Created: 2019-11-12 Last updated: 2019-11-28Bibliographically approved

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Kolyada, Viktor

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