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Hardy-type inequalities for means
Lajos Kossuth University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2004 (English)In: Bulletin of the Australian Mathematical Society, ISSN 0004-9727, E-ISSN 1755-1633, Vol. 70, no 3, p. 521-528Article in journal (Refereed) Published
Abstract [en]

In this paper we consider inequalities of the form ∞ ∑ M(x 1,..., xn) ≤ C xn, ∞ ∑ n=1 n=1 where M is a mean. The main results of the paper offer sufficient conditions on M so that the above inequality holds with a finite constant C. The results obtained extend Hardy's and Carleman's classical inequalities together with their various generalisations in a new direction

Place, publisher, year, edition, pages
2004. Vol. 70, no 3, p. 521-528
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-6323Local ID: 48c14a80-a616-11db-9811-000ea68e967bOAI: oai:DiVA.org:ltu-6323DiVA, id: diva2:979200
Note
Validerad; 2004; 20061122 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Persson, Lars-Erik

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