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On the Cèsaro and Copson Norms of Nonnegative Sequences
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för matematik och datavetenskap (from 2013).ORCID-id: 0000-0001-5459-0796
2019 (engelsk)Inngår i: Ukrainian Mathematical Journal, ISSN 0041-5995, E-ISSN 1573-9376, Vol. 71, nr 2, s. 248-258Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
Springer, 2019. Vol. 71, nr 2, s. 248-258
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Matematik
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URN: urn:nbn:se:kau:diva-75741DOI: 10.1007/s11253-019-01642-7ISI: 000509896300008Scopus ID: 2-s2.0-85073948250OAI: oai:DiVA.org:kau-75741DiVA, id: diva2:1369703
Tilgjengelig fra: 2019-11-12 Laget: 2019-11-12 Sist oppdatert: 2020-02-20bibliografisk kontrollert

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